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Finding the Third Proportional to 688,948 and 1,013,008

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Solution

The third proportional to 688,948 and 1,013,008 is: 1,489,495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,948 : 1,013,008 = 1,013,008 : x
  2. Step 2: Convert to fraction form
    688,948/1,013,008 = 1,013,008/x
  3. Step 3: Cross multiply
    688,948x = 1,013,008 × 1,013,008
  4. Step 4: Simplify right side
    688,948x = 1,026,185,208,064
  5. Step 5: Solve for x
    x = 1,026,185,208,064/688,948
  6. Step 6: Final answer
    x = 1,489,495.88

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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.