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Finding the Third Proportional to 1,016,349.56 and 2,209,839.38

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Solution

The third proportional to 1,016,349.56 and 2,209,839.38 is: 4,804,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,349.56 : 2,209,839.38 = 2,209,839.38 : x
  2. Step 2: Convert to fraction form
    1,016,349.56/2,209,839.38 = 2,209,839.38/x
  3. Step 3: Cross multiply
    1,016,349.56x = 2,209,839.38 × 2,209,839.38
  4. Step 4: Simplify right side
    1,016,349.56x = 4,883,390,063,300.39
  5. Step 5: Solve for x
    x = 4,883,390,063,300.39/1,016,349.56
  6. Step 6: Final answer
    x = 4,804,833.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.