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Finding the Third Proportional to 691,671 and 1,037,506.50

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Solution

The third proportional to 691,671 and 1,037,506.50 is: 1,556,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,671 : 1,037,506.50 = 1,037,506.50 : x
  2. Step 2: Convert to fraction form
    691,671/1,037,506.50 = 1,037,506.50/x
  3. Step 3: Cross multiply
    691,671x = 1,037,506.50 × 1,037,506.50
  4. Step 4: Simplify right side
    691,671x = 1,076,419,737,542.25
  5. Step 5: Solve for x
    x = 1,076,419,737,542.25/691,671
  6. Step 6: Final answer
    x = 1,556,259.75

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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.