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Finding the Third Proportional to 539,596 and 1,165,646

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Solution

The third proportional to 539,596 and 1,165,646 is: 2,518,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,596 : 1,165,646 = 1,165,646 : x
  2. Step 2: Convert to fraction form
    539,596/1,165,646 = 1,165,646/x
  3. Step 3: Cross multiply
    539,596x = 1,165,646 × 1,165,646
  4. Step 4: Simplify right side
    539,596x = 1,358,730,597,316
  5. Step 5: Solve for x
    x = 1,358,730,597,316/539,596
  6. Step 6: Final answer
    x = 2,518,051.65

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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.