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Finding the Third Proportional to 688,956 and 1,013,022

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Solution

The third proportional to 688,956 and 1,013,022 is: 1,489,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,956 : 1,013,022 = 1,013,022 : x
  2. Step 2: Convert to fraction form
    688,956/1,013,022 = 1,013,022/x
  3. Step 3: Cross multiply
    688,956x = 1,013,022 × 1,013,022
  4. Step 4: Simplify right side
    688,956x = 1,026,213,572,484
  5. Step 5: Solve for x
    x = 1,026,213,572,484/688,956
  6. Step 6: Final answer
    x = 1,489,519.76

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