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Finding the Third Proportional to 591,842 and 927,429

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Solution

The third proportional to 591,842 and 927,429 is: 1,453,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,842 : 927,429 = 927,429 : x
  2. Step 2: Convert to fraction form
    591,842/927,429 = 927,429/x
  3. Step 3: Cross multiply
    591,842x = 927,429 × 927,429
  4. Step 4: Simplify right side
    591,842x = 860,124,550,041
  5. Step 5: Solve for x
    x = 860,124,550,041/591,842
  6. Step 6: Final answer
    x = 1,453,300.97

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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.