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Finding the Third Proportional to 688,962 and 1,013,031

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Solution

The third proportional to 688,962 and 1,013,031 is: 1,489,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,962 : 1,013,031 = 1,013,031 : x
  2. Step 2: Convert to fraction form
    688,962/1,013,031 = 1,013,031/x
  3. Step 3: Cross multiply
    688,962x = 1,013,031 × 1,013,031
  4. Step 4: Simplify right side
    688,962x = 1,026,231,806,961
  5. Step 5: Solve for x
    x = 1,026,231,806,961/688,962
  6. Step 6: Final answer
    x = 1,489,533.25

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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.