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Finding the Third Proportional to 436,472 and 939,688

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Solution

The third proportional to 436,472 and 939,688 is: 2,023,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,472 : 939,688 = 939,688 : x
  2. Step 2: Convert to fraction form
    436,472/939,688 = 939,688/x
  3. Step 3: Cross multiply
    436,472x = 939,688 × 939,688
  4. Step 4: Simplify right side
    436,472x = 883,013,537,344
  5. Step 5: Solve for x
    x = 883,013,537,344/436,472
  6. Step 6: Final answer
    x = 2,023,070.29

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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.