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Finding the Third Proportional to 460,222,941 and 988,750,250

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Solution

The third proportional to 460,222,941 and 988,750,250 is: 2,124,246,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,222,941 : 988,750,250 = 988,750,250 : x
  2. Step 2: Convert to fraction form
    460,222,941/988,750,250 = 988,750,250/x
  3. Step 3: Cross multiply
    460,222,941x = 988,750,250 × 988,750,250
  4. Step 4: Simplify right side
    460,222,941x = 977,627,056,875,062,528
  5. Step 5: Solve for x
    x = 977,627,056,875,062,528/460,222,941
  6. Step 6: Final answer
    x = 2,124,246,685.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.