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Finding the Third Proportional to 912,654.84 and 1,431,626.91

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Solution

The third proportional to 912,654.84 and 1,431,626.91 is: 2,245,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,654.84 : 1,431,626.91 = 1,431,626.91 : x
  2. Step 2: Convert to fraction form
    912,654.84/1,431,626.91 = 1,431,626.91/x
  3. Step 3: Cross multiply
    912,654.84x = 1,431,626.91 × 1,431,626.91
  4. Step 4: Simplify right side
    912,654.84x = 2,049,555,598,698.95
  5. Step 5: Solve for x
    x = 2,049,555,598,698.95/912,654.84
  6. Step 6: Final answer
    x = 2,245,707.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.