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Finding the Third Proportional to 926,948.81 and 1,434,527.72

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Solution

The third proportional to 926,948.81 and 1,434,527.72 is: 2,220,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,948.81 : 1,434,527.72 = 1,434,527.72 : x
  2. Step 2: Convert to fraction form
    926,948.81/1,434,527.72 = 1,434,527.72/x
  3. Step 3: Cross multiply
    926,948.81x = 1,434,527.72 × 1,434,527.72
  4. Step 4: Simplify right side
    926,948.81x = 2,057,869,775,862.08
  5. Step 5: Solve for x
    x = 2,057,869,775,862.08/926,948.81
  6. Step 6: Final answer
    x = 2,220,046.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.