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Finding the Third Proportional to 768,585 and 1,227,826.50

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Solution

The third proportional to 768,585 and 1,227,826.50 is: 1,961,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,585 : 1,227,826.50 = 1,227,826.50 : x
  2. Step 2: Convert to fraction form
    768,585/1,227,826.50 = 1,227,826.50/x
  3. Step 3: Cross multiply
    768,585x = 1,227,826.50 × 1,227,826.50
  4. Step 4: Simplify right side
    768,585x = 1,507,557,914,102.25
  5. Step 5: Solve for x
    x = 1,507,557,914,102.25/768,585
  6. Step 6: Final answer
    x = 1,961,471.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.