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Finding the Third Proportional to 688,017 and 1,011,801

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Solution

The third proportional to 688,017 and 1,011,801 is: 1,487,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,017 : 1,011,801 = 1,011,801 : x
  2. Step 2: Convert to fraction form
    688,017/1,011,801 = 1,011,801/x
  3. Step 3: Cross multiply
    688,017x = 1,011,801 × 1,011,801
  4. Step 4: Simplify right side
    688,017x = 1,023,741,263,601
  5. Step 5: Solve for x
    x = 1,023,741,263,601/688,017
  6. Step 6: Final answer
    x = 1,487,959.26

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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.