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Finding the Third Proportional to 403,792 and 849,436

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Solution

The third proportional to 403,792 and 849,436 is: 1,786,913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,792 : 849,436 = 849,436 : x
  2. Step 2: Convert to fraction form
    403,792/849,436 = 849,436/x
  3. Step 3: Cross multiply
    403,792x = 849,436 × 849,436
  4. Step 4: Simplify right side
    403,792x = 721,541,518,096
  5. Step 5: Solve for x
    x = 721,541,518,096/403,792
  6. Step 6: Final answer
    x = 1,786,913.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.