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Finding the Third Proportional to 1,013,735.25 and 2,357,191.13

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Solution

The third proportional to 1,013,735.25 and 2,357,191.13 is: 5,481,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,735.25 : 2,357,191.13 = 2,357,191.13 : x
  2. Step 2: Convert to fraction form
    1,013,735.25/2,357,191.13 = 2,357,191.13/x
  3. Step 3: Cross multiply
    1,013,735.25x = 2,357,191.13 × 2,357,191.13
  4. Step 4: Simplify right side
    1,013,735.25x = 5,556,349,999,778.77
  5. Step 5: Solve for x
    x = 5,556,349,999,778.77/1,013,735.25
  6. Step 6: Final answer
    x = 5,481,066.19

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.