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Finding the Third Proportional to 1,111,998.38 and 2,427,934.50

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Solution

The third proportional to 1,111,998.38 and 2,427,934.50 is: 5,301,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111,998.38 : 2,427,934.50 = 2,427,934.50 : x
  2. Step 2: Convert to fraction form
    1,111,998.38/2,427,934.50 = 2,427,934.50/x
  3. Step 3: Cross multiply
    1,111,998.38x = 2,427,934.50 × 2,427,934.50
  4. Step 4: Simplify right side
    1,111,998.38x = 5,894,865,936,290.25
  5. Step 5: Solve for x
    x = 5,894,865,936,290.25/1,111,998.38
  6. Step 6: Final answer
    x = 5,301,146.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.