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Finding the Third Proportional to 539,272 and 1,159,952

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Solution

The third proportional to 539,272 and 1,159,952 is: 2,495,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,272 : 1,159,952 = 1,159,952 : x
  2. Step 2: Convert to fraction form
    539,272/1,159,952 = 1,159,952/x
  3. Step 3: Cross multiply
    539,272x = 1,159,952 × 1,159,952
  4. Step 4: Simplify right side
    539,272x = 1,345,488,642,304
  5. Step 5: Solve for x
    x = 1,345,488,642,304/539,272
  6. Step 6: Final answer
    x = 2,495,009.28

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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.