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Finding the Third Proportional to 1,539,657 and 2,217,807

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Solution

The third proportional to 1,539,657 and 2,217,807 is: 3,194,651.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539,657 : 2,217,807 = 2,217,807 : x
  2. Step 2: Convert to fraction form
    1,539,657/2,217,807 = 2,217,807/x
  3. Step 3: Cross multiply
    1,539,657x = 2,217,807 × 2,217,807
  4. Step 4: Simplify right side
    1,539,657x = 4,918,667,889,249
  5. Step 5: Solve for x
    x = 4,918,667,889,249/1,539,657
  6. Step 6: Final answer
    x = 3,194,651.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.