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Finding the Third Proportional to 927,882 and 1,436,724

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Solution

The third proportional to 927,882 and 1,436,724 is: 2,224,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,882 : 1,436,724 = 1,436,724 : x
  2. Step 2: Convert to fraction form
    927,882/1,436,724 = 1,436,724/x
  3. Step 3: Cross multiply
    927,882x = 1,436,724 × 1,436,724
  4. Step 4: Simplify right side
    927,882x = 2,064,175,852,176
  5. Step 5: Solve for x
    x = 2,064,175,852,176/927,882
  6. Step 6: Final answer
    x = 2,224,610.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.