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Finding the Third Proportional to 687,571 and 1,010,294

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Solution

The third proportional to 687,571 and 1,010,294 is: 1,484,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,571 : 1,010,294 = 1,010,294 : x
  2. Step 2: Convert to fraction form
    687,571/1,010,294 = 1,010,294/x
  3. Step 3: Cross multiply
    687,571x = 1,010,294 × 1,010,294
  4. Step 4: Simplify right side
    687,571x = 1,020,693,966,436
  5. Step 5: Solve for x
    x = 1,020,693,966,436/687,571
  6. Step 6: Final answer
    x = 1,484,492.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.