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Finding the Third Proportional to 762,908.63 and 1,154,184.19

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Solution

The third proportional to 762,908.63 and 1,154,184.19 is: 1,746,134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,908.63 : 1,154,184.19 = 1,154,184.19 : x
  2. Step 2: Convert to fraction form
    762,908.63/1,154,184.19 = 1,154,184.19/x
  3. Step 3: Cross multiply
    762,908.63x = 1,154,184.19 × 1,154,184.19
  4. Step 4: Simplify right side
    762,908.63x = 1,332,141,138,675.04
  5. Step 5: Solve for x
    x = 1,332,141,138,675.04/762,908.63
  6. Step 6: Final answer
    x = 1,746,134.59

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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.