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Finding the Third Proportional to 703,498 and 1,069,464

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Solution

The third proportional to 703,498 and 1,069,464 is: 1,625,808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,498 : 1,069,464 = 1,069,464 : x
  2. Step 2: Convert to fraction form
    703,498/1,069,464 = 1,069,464/x
  3. Step 3: Cross multiply
    703,498x = 1,069,464 × 1,069,464
  4. Step 4: Simplify right side
    703,498x = 1,143,753,247,296
  5. Step 5: Solve for x
    x = 1,143,753,247,296/703,498
  6. Step 6: Final answer
    x = 1,625,808.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.