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Finding the Third Proportional to 2,564,309 and 4,060,517

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Solution

The third proportional to 2,564,309 and 4,060,517 is: 6,429,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,309 : 4,060,517 = 4,060,517 : x
  2. Step 2: Convert to fraction form
    2,564,309/4,060,517 = 4,060,517/x
  3. Step 3: Cross multiply
    2,564,309x = 4,060,517 × 4,060,517
  4. Step 4: Simplify right side
    2,564,309x = 16,487,798,307,289
  5. Step 5: Solve for x
    x = 16,487,798,307,289/2,564,309
  6. Step 6: Final answer
    x = 6,429,723.68

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.