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Finding the Third Proportional to 748,612.13 and 1,151,835.19

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Solution

The third proportional to 748,612.13 and 1,151,835.19 is: 1,772,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,612.13 : 1,151,835.19 = 1,151,835.19 : x
  2. Step 2: Convert to fraction form
    748,612.13/1,151,835.19 = 1,151,835.19/x
  3. Step 3: Cross multiply
    748,612.13x = 1,151,835.19 × 1,151,835.19
  4. Step 4: Simplify right side
    748,612.13x = 1,326,724,299,163.16
  5. Step 5: Solve for x
    x = 1,326,724,299,163.16/748,612.13
  6. Step 6: Final answer
    x = 1,772,245.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.