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Finding the Third Proportional to 810,277.50 and 1,746,150

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Solution

The third proportional to 810,277.50 and 1,746,150 is: 3,762,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,277.50 : 1,746,150 = 1,746,150 : x
  2. Step 2: Convert to fraction form
    810,277.50/1,746,150 = 1,746,150/x
  3. Step 3: Cross multiply
    810,277.50x = 1,746,150 × 1,746,150
  4. Step 4: Simplify right side
    810,277.50x = 3,049,039,822,500
  5. Step 5: Solve for x
    x = 3,049,039,822,500/810,277.50
  6. Step 6: Final answer
    x = 3,762,957.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.