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Finding the Third Proportional to 784,919.25 and 1,065,246.75

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Solution

The third proportional to 784,919.25 and 1,065,246.75 is: 1,445,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,919.25 : 1,065,246.75 = 1,065,246.75 : x
  2. Step 2: Convert to fraction form
    784,919.25/1,065,246.75 = 1,065,246.75/x
  3. Step 3: Cross multiply
    784,919.25x = 1,065,246.75 × 1,065,246.75
  4. Step 4: Simplify right side
    784,919.25x = 1,134,750,638,385.56
  5. Step 5: Solve for x
    x = 1,134,750,638,385.56/784,919.25
  6. Step 6: Final answer
    x = 1,445,690.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.