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Finding the Third Proportional to 492,497 and 1,078,413

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Solution

The third proportional to 492,497 and 1,078,413 is: 2,361,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,497 : 1,078,413 = 1,078,413 : x
  2. Step 2: Convert to fraction form
    492,497/1,078,413 = 1,078,413/x
  3. Step 3: Cross multiply
    492,497x = 1,078,413 × 1,078,413
  4. Step 4: Simplify right side
    492,497x = 1,162,974,598,569
  5. Step 5: Solve for x
    x = 1,162,974,598,569/492,497
  6. Step 6: Final answer
    x = 2,361,384.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.