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Finding the Third Proportional to 2,309,432.50 and 3,584,650

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Solution

The third proportional to 2,309,432.50 and 3,584,650 is: 5,564,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309,432.50 : 3,584,650 = 3,584,650 : x
  2. Step 2: Convert to fraction form
    2,309,432.50/3,584,650 = 3,584,650/x
  3. Step 3: Cross multiply
    2,309,432.50x = 3,584,650 × 3,584,650
  4. Step 4: Simplify right side
    2,309,432.50x = 12,849,715,622,500
  5. Step 5: Solve for x
    x = 12,849,715,622,500/2,309,432.50
  6. Step 6: Final answer
    x = 5,564,014.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.