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Finding the Third Proportional to 686,775 and 1,010,301

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Solution

The third proportional to 686,775 and 1,010,301 is: 1,486,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,775 : 1,010,301 = 1,010,301 : x
  2. Step 2: Convert to fraction form
    686,775/1,010,301 = 1,010,301/x
  3. Step 3: Cross multiply
    686,775x = 1,010,301 × 1,010,301
  4. Step 4: Simplify right side
    686,775x = 1,020,708,110,601
  5. Step 5: Solve for x
    x = 1,020,708,110,601/686,775
  6. Step 6: Final answer
    x = 1,486,233.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.