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Finding the Third Proportional to 646,445,982.97 and 924,418,856.53

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Solution

The third proportional to 646,445,982.97 and 924,418,856.53 is: 1,321,920,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,445,982.97 : 924,418,856.53 = 924,418,856.53 : x
  2. Step 2: Convert to fraction form
    646,445,982.97/924,418,856.53 = 924,418,856.53/x
  3. Step 3: Cross multiply
    646,445,982.97x = 924,418,856.53 × 924,418,856.53
  4. Step 4: Simplify right side
    646,445,982.97x = 854,550,222,310,543,744
  5. Step 5: Solve for x
    x = 854,550,222,310,543,744/646,445,982.97
  6. Step 6: Final answer
    x = 1,321,920,539.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.