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Finding the Third Proportional to 764,498 and 1,069,275

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Solution

The third proportional to 764,498 and 1,069,275 is: 1,495,555.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,498 : 1,069,275 = 1,069,275 : x
  2. Step 2: Convert to fraction form
    764,498/1,069,275 = 1,069,275/x
  3. Step 3: Cross multiply
    764,498x = 1,069,275 × 1,069,275
  4. Step 4: Simplify right side
    764,498x = 1,143,349,025,625
  5. Step 5: Solve for x
    x = 1,143,349,025,625/764,498
  6. Step 6: Final answer
    x = 1,495,555.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.