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Finding the Third Proportional to 730,626.75 and 1,146,421.13

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Solution

The third proportional to 730,626.75 and 1,146,421.13 is: 1,798,841.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,626.75 : 1,146,421.13 = 1,146,421.13 : x
  2. Step 2: Convert to fraction form
    730,626.75/1,146,421.13 = 1,146,421.13/x
  3. Step 3: Cross multiply
    730,626.75x = 1,146,421.13 × 1,146,421.13
  4. Step 4: Simplify right side
    730,626.75x = 1,314,281,395,846.27
  5. Step 5: Solve for x
    x = 1,314,281,395,846.27/730,626.75
  6. Step 6: Final answer
    x = 1,798,841.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.