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Finding the Third Proportional to 539,598 and 1,165,650

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Solution

The third proportional to 539,598 and 1,165,650 is: 2,518,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,598 : 1,165,650 = 1,165,650 : x
  2. Step 2: Convert to fraction form
    539,598/1,165,650 = 1,165,650/x
  3. Step 3: Cross multiply
    539,598x = 1,165,650 × 1,165,650
  4. Step 4: Simplify right side
    539,598x = 1,358,739,922,500
  5. Step 5: Solve for x
    x = 1,358,739,922,500/539,598
  6. Step 6: Final answer
    x = 2,518,059.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.