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Finding the Third Proportional to 746,739 and 1,174,540.50

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Solution

The third proportional to 746,739 and 1,174,540.50 is: 1,847,426.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,739 : 1,174,540.50 = 1,174,540.50 : x
  2. Step 2: Convert to fraction form
    746,739/1,174,540.50 = 1,174,540.50/x
  3. Step 3: Cross multiply
    746,739x = 1,174,540.50 × 1,174,540.50
  4. Step 4: Simplify right side
    746,739x = 1,379,545,386,140.25
  5. Step 5: Solve for x
    x = 1,379,545,386,140.25/746,739
  6. Step 6: Final answer
    x = 1,847,426.46

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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.