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Finding the Third Proportional to 992,160 and 2,173,496

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Solution

The third proportional to 992,160 and 2,173,496 is: 4,761,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,160 : 2,173,496 = 2,173,496 : x
  2. Step 2: Convert to fraction form
    992,160/2,173,496 = 2,173,496/x
  3. Step 3: Cross multiply
    992,160x = 2,173,496 × 2,173,496
  4. Step 4: Simplify right side
    992,160x = 4,724,084,862,016
  5. Step 5: Solve for x
    x = 4,724,084,862,016/992,160
  6. Step 6: Final answer
    x = 4,761,414.35

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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.