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Finding the Third Proportional to 583,749 and 1,257,534

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Solution

The third proportional to 583,749 and 1,257,534 is: 2,709,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,749 : 1,257,534 = 1,257,534 : x
  2. Step 2: Convert to fraction form
    583,749/1,257,534 = 1,257,534/x
  3. Step 3: Cross multiply
    583,749x = 1,257,534 × 1,257,534
  4. Step 4: Simplify right side
    583,749x = 1,581,391,761,156
  5. Step 5: Solve for x
    x = 1,581,391,761,156/583,749
  6. Step 6: Final answer
    x = 2,709,026.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.