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Finding the Third Proportional to 986,498 and 1,477,047

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Solution

The third proportional to 986,498 and 1,477,047 is: 2,211,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,498 : 1,477,047 = 1,477,047 : x
  2. Step 2: Convert to fraction form
    986,498/1,477,047 = 1,477,047/x
  3. Step 3: Cross multiply
    986,498x = 1,477,047 × 1,477,047
  4. Step 4: Simplify right side
    986,498x = 2,181,667,840,209
  5. Step 5: Solve for x
    x = 2,181,667,840,209/986,498
  6. Step 6: Final answer
    x = 2,211,527.89

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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.