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Finding the Third Proportional to 3,232,765.13 and 4,706,992.13

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Solution

The third proportional to 3,232,765.13 and 4,706,992.13 is: 6,853,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232,765.13 : 4,706,992.13 = 4,706,992.13 : x
  2. Step 2: Convert to fraction form
    3,232,765.13/4,706,992.13 = 4,706,992.13/x
  3. Step 3: Cross multiply
    3,232,765.13x = 4,706,992.13 × 4,706,992.13
  4. Step 4: Simplify right side
    3,232,765.13x = 22,155,774,864,812.02
  5. Step 5: Solve for x
    x = 22,155,774,864,812.02/3,232,765.13
  6. Step 6: Final answer
    x = 6,853,505.90

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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.