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Finding the Third Proportional to 686,874 and 1,050,708

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Solution

The third proportional to 686,874 and 1,050,708 is: 1,607,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,874 : 1,050,708 = 1,050,708 : x
  2. Step 2: Convert to fraction form
    686,874/1,050,708 = 1,050,708/x
  3. Step 3: Cross multiply
    686,874x = 1,050,708 × 1,050,708
  4. Step 4: Simplify right side
    686,874x = 1,103,987,301,264
  5. Step 5: Solve for x
    x = 1,103,987,301,264/686,874
  6. Step 6: Final answer
    x = 1,607,263.20

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.