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Finding the Third Proportional to 424,121 and 924,450

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Solution

The third proportional to 424,121 and 924,450 is: 2,015,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,121 : 924,450 = 924,450 : x
  2. Step 2: Convert to fraction form
    424,121/924,450 = 924,450/x
  3. Step 3: Cross multiply
    424,121x = 924,450 × 924,450
  4. Step 4: Simplify right side
    424,121x = 854,607,802,500
  5. Step 5: Solve for x
    x = 854,607,802,500/424,121
  6. Step 6: Final answer
    x = 2,015,009.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.