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Finding the Third Proportional to 605,123.16 and 1,316,710.69

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Solution

The third proportional to 605,123.16 and 1,316,710.69 is: 2,865,081.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,123.16 : 1,316,710.69 = 1,316,710.69 : x
  2. Step 2: Convert to fraction form
    605,123.16/1,316,710.69 = 1,316,710.69/x
  3. Step 3: Cross multiply
    605,123.16x = 1,316,710.69 × 1,316,710.69
  4. Step 4: Simplify right side
    605,123.16x = 1,733,727,034,576.72
  5. Step 5: Solve for x
    x = 1,733,727,034,576.72/605,123.16
  6. Step 6: Final answer
    x = 2,865,081.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.