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Finding the Third Proportional to 458,527 and 1,078,892

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Solution

The third proportional to 458,527 and 1,078,892 is: 2,538,581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,527 : 1,078,892 = 1,078,892 : x
  2. Step 2: Convert to fraction form
    458,527/1,078,892 = 1,078,892/x
  3. Step 3: Cross multiply
    458,527x = 1,078,892 × 1,078,892
  4. Step 4: Simplify right side
    458,527x = 1,164,007,947,664
  5. Step 5: Solve for x
    x = 1,164,007,947,664/458,527
  6. Step 6: Final answer
    x = 2,538,581.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.