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Finding the Third Proportional to 3,659,475 and 5,688,508.50

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Solution

The third proportional to 3,659,475 and 5,688,508.50 is: 8,842,560.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659,475 : 5,688,508.50 = 5,688,508.50 : x
  2. Step 2: Convert to fraction form
    3,659,475/5,688,508.50 = 5,688,508.50/x
  3. Step 3: Cross multiply
    3,659,475x = 5,688,508.50 × 5,688,508.50
  4. Step 4: Simplify right side
    3,659,475x = 32,359,128,954,572.25
  5. Step 5: Solve for x
    x = 32,359,128,954,572.25/3,659,475
  6. Step 6: Final answer
    x = 8,842,560.46

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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.