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Finding the Third Proportional to 1,109,998 and 1,660,541

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Solution

The third proportional to 1,109,998 and 1,660,541 is: 2,484,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,998 : 1,660,541 = 1,660,541 : x
  2. Step 2: Convert to fraction form
    1,109,998/1,660,541 = 1,660,541/x
  3. Step 3: Cross multiply
    1,109,998x = 1,660,541 × 1,660,541
  4. Step 4: Simplify right side
    1,109,998x = 2,757,396,412,681
  5. Step 5: Solve for x
    x = 2,757,396,412,681/1,109,998
  6. Step 6: Final answer
    x = 2,484,145.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.