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Finding the Third Proportional to 1,170,614 and 1,711,209

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Solution

The third proportional to 1,170,614 and 1,711,209 is: 2,501,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,614 : 1,711,209 = 1,711,209 : x
  2. Step 2: Convert to fraction form
    1,170,614/1,711,209 = 1,711,209/x
  3. Step 3: Cross multiply
    1,170,614x = 1,711,209 × 1,711,209
  4. Step 4: Simplify right side
    1,170,614x = 2,928,236,241,681
  5. Step 5: Solve for x
    x = 2,928,236,241,681/1,170,614
  6. Step 6: Final answer
    x = 2,501,453.29

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.