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Finding the Third Proportional to 2,564,760 and 4,002,417

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Solution

The third proportional to 2,564,760 and 4,002,417 is: 6,245,941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,760 : 4,002,417 = 4,002,417 : x
  2. Step 2: Convert to fraction form
    2,564,760/4,002,417 = 4,002,417/x
  3. Step 3: Cross multiply
    2,564,760x = 4,002,417 × 4,002,417
  4. Step 4: Simplify right side
    2,564,760x = 16,019,341,841,889
  5. Step 5: Solve for x
    x = 16,019,341,841,889/2,564,760
  6. Step 6: Final answer
    x = 6,245,941.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.