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Finding the Third Proportional to 563,961.71 and 1,174,397.17

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Solution

The third proportional to 563,961.71 and 1,174,397.17 is: 2,445,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,961.71 : 1,174,397.17 = 1,174,397.17 : x
  2. Step 2: Convert to fraction form
    563,961.71/1,174,397.17 = 1,174,397.17/x
  3. Step 3: Cross multiply
    563,961.71x = 1,174,397.17 × 1,174,397.17
  4. Step 4: Simplify right side
    563,961.71x = 1,379,208,708,133.14
  5. Step 5: Solve for x
    x = 1,379,208,708,133.14/563,961.71
  6. Step 6: Final answer
    x = 2,445,571.55

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.