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Finding the Third Proportional to 2,559,474 and 3,866,430

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Solution

The third proportional to 2,559,474 and 3,866,430 is: 5,840,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559,474 : 3,866,430 = 3,866,430 : x
  2. Step 2: Convert to fraction form
    2,559,474/3,866,430 = 3,866,430/x
  3. Step 3: Cross multiply
    2,559,474x = 3,866,430 × 3,866,430
  4. Step 4: Simplify right side
    2,559,474x = 14,949,280,944,900
  5. Step 5: Solve for x
    x = 14,949,280,944,900/2,559,474
  6. Step 6: Final answer
    x = 5,840,762.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.