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Finding the Third Proportional to 1,285,224 and 2,791,693

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Solution

The third proportional to 1,285,224 and 2,791,693 is: 6,063,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,224 : 2,791,693 = 2,791,693 : x
  2. Step 2: Convert to fraction form
    1,285,224/2,791,693 = 2,791,693/x
  3. Step 3: Cross multiply
    1,285,224x = 2,791,693 × 2,791,693
  4. Step 4: Simplify right side
    1,285,224x = 7,793,549,806,249
  5. Step 5: Solve for x
    x = 7,793,549,806,249/1,285,224
  6. Step 6: Final answer
    x = 6,063,962.24

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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.