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Finding the Third Proportional to 883,584 and 1,377,792

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Solution

The third proportional to 883,584 and 1,377,792 is: 2,148,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,584 : 1,377,792 = 1,377,792 : x
  2. Step 2: Convert to fraction form
    883,584/1,377,792 = 1,377,792/x
  3. Step 3: Cross multiply
    883,584x = 1,377,792 × 1,377,792
  4. Step 4: Simplify right side
    883,584x = 1,898,310,795,264
  5. Step 5: Solve for x
    x = 1,898,310,795,264/883,584
  6. Step 6: Final answer
    x = 2,148,421.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.