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Finding the Third Proportional to 591,844 and 927,432

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Solution

The third proportional to 591,844 and 927,432 is: 1,453,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,844 : 927,432 = 927,432 : x
  2. Step 2: Convert to fraction form
    591,844/927,432 = 927,432/x
  3. Step 3: Cross multiply
    591,844x = 927,432 × 927,432
  4. Step 4: Simplify right side
    591,844x = 860,130,114,624
  5. Step 5: Solve for x
    x = 860,130,114,624/591,844
  6. Step 6: Final answer
    x = 1,453,305.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.