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Finding the Third Proportional to 706,952 and 1,070,720

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Solution

The third proportional to 706,952 and 1,070,720 is: 1,621,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,952 : 1,070,720 = 1,070,720 : x
  2. Step 2: Convert to fraction form
    706,952/1,070,720 = 1,070,720/x
  3. Step 3: Cross multiply
    706,952x = 1,070,720 × 1,070,720
  4. Step 4: Simplify right side
    706,952x = 1,146,441,318,400
  5. Step 5: Solve for x
    x = 1,146,441,318,400/706,952
  6. Step 6: Final answer
    x = 1,621,667.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.