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Finding the Third Proportional to 688,964 and 1,013,034

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Solution

The third proportional to 688,964 and 1,013,034 is: 1,489,537.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,964 : 1,013,034 = 1,013,034 : x
  2. Step 2: Convert to fraction form
    688,964/1,013,034 = 1,013,034/x
  3. Step 3: Cross multiply
    688,964x = 1,013,034 × 1,013,034
  4. Step 4: Simplify right side
    688,964x = 1,026,237,885,156
  5. Step 5: Solve for x
    x = 1,026,237,885,156/688,964
  6. Step 6: Final answer
    x = 1,489,537.75

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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.