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Finding the Third Proportional to 2,336,233.13 and 3,415,654.13

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Solution

The third proportional to 2,336,233.13 and 3,415,654.13 is: 4,993,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336,233.13 : 3,415,654.13 = 3,415,654.13 : x
  2. Step 2: Convert to fraction form
    2,336,233.13/3,415,654.13 = 3,415,654.13/x
  3. Step 3: Cross multiply
    2,336,233.13x = 3,415,654.13 × 3,415,654.13
  4. Step 4: Simplify right side
    2,336,233.13x = 11,666,693,101,629.52
  5. Step 5: Solve for x
    x = 11,666,693,101,629.52/2,336,233.13
  6. Step 6: Final answer
    x = 4,993,805.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.