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Finding the Third Proportional to 748,423.13 and 1,151,695.13

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Solution

The third proportional to 748,423.13 and 1,151,695.13 is: 1,772,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,423.13 : 1,151,695.13 = 1,151,695.13 : x
  2. Step 2: Convert to fraction form
    748,423.13/1,151,695.13 = 1,151,695.13/x
  3. Step 3: Cross multiply
    748,423.13x = 1,151,695.13 × 1,151,695.13
  4. Step 4: Simplify right side
    748,423.13x = 1,326,401,660,948.77
  5. Step 5: Solve for x
    x = 1,326,401,660,948.77/748,423.13
  6. Step 6: Final answer
    x = 1,772,261.73

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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.