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Finding the Third Proportional to 717,037 and 1,574,041

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Solution

The third proportional to 717,037 and 1,574,041 is: 3,455,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,037 : 1,574,041 = 1,574,041 : x
  2. Step 2: Convert to fraction form
    717,037/1,574,041 = 1,574,041/x
  3. Step 3: Cross multiply
    717,037x = 1,574,041 × 1,574,041
  4. Step 4: Simplify right side
    717,037x = 2,477,605,069,681
  5. Step 5: Solve for x
    x = 2,477,605,069,681/717,037
  6. Step 6: Final answer
    x = 3,455,337.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.