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Finding the Third Proportional to 691,678 and 1,037,517

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Solution

The third proportional to 691,678 and 1,037,517 is: 1,556,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,678 : 1,037,517 = 1,037,517 : x
  2. Step 2: Convert to fraction form
    691,678/1,037,517 = 1,037,517/x
  3. Step 3: Cross multiply
    691,678x = 1,037,517 × 1,037,517
  4. Step 4: Simplify right side
    691,678x = 1,076,441,525,289
  5. Step 5: Solve for x
    x = 1,076,441,525,289/691,678
  6. Step 6: Final answer
    x = 1,556,275.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.