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Finding the Third Proportional to 764,514 and 1,069,299

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Solution

The third proportional to 764,514 and 1,069,299 is: 1,495,591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,514 : 1,069,299 = 1,069,299 : x
  2. Step 2: Convert to fraction form
    764,514/1,069,299 = 1,069,299/x
  3. Step 3: Cross multiply
    764,514x = 1,069,299 × 1,069,299
  4. Step 4: Simplify right side
    764,514x = 1,143,400,351,401
  5. Step 5: Solve for x
    x = 1,143,400,351,401/764,514
  6. Step 6: Final answer
    x = 1,495,591.12

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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.