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Finding the Third Proportional to 432,739.13 and 1,001,715.19

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Solution

The third proportional to 432,739.13 and 1,001,715.19 is: 2,318,794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,739.13 : 1,001,715.19 = 1,001,715.19 : x
  2. Step 2: Convert to fraction form
    432,739.13/1,001,715.19 = 1,001,715.19/x
  3. Step 3: Cross multiply
    432,739.13x = 1,001,715.19 × 1,001,715.19
  4. Step 4: Simplify right side
    432,739.13x = 1,003,433,316,868.16
  5. Step 5: Solve for x
    x = 1,003,433,316,868.16/432,739.13
  6. Step 6: Final answer
    x = 2,318,794.99

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.