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Finding the Third Proportional to 435,652.59 and 948,812.91

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Solution

The third proportional to 435,652.59 and 948,812.91 is: 2,066,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,652.59 : 948,812.91 = 948,812.91 : x
  2. Step 2: Convert to fraction form
    435,652.59/948,812.91 = 948,812.91/x
  3. Step 3: Cross multiply
    435,652.59x = 948,812.91 × 948,812.91
  4. Step 4: Simplify right side
    435,652.59x = 900,245,931,066.57
  5. Step 5: Solve for x
    x = 900,245,931,066.57/435,652.59
  6. Step 6: Final answer
    x = 2,066,430.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.