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Finding the Third Proportional to 676,704 and 1,473,952

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Solution

The third proportional to 676,704 and 1,473,952 is: 3,210,464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,704 : 1,473,952 = 1,473,952 : x
  2. Step 2: Convert to fraction form
    676,704/1,473,952 = 1,473,952/x
  3. Step 3: Cross multiply
    676,704x = 1,473,952 × 1,473,952
  4. Step 4: Simplify right side
    676,704x = 2,172,534,498,304
  5. Step 5: Solve for x
    x = 2,172,534,498,304/676,704
  6. Step 6: Final answer
    x = 3,210,464.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.