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Finding the Third Proportional to 691,676 and 1,037,514

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Solution

The third proportional to 691,676 and 1,037,514 is: 1,556,271

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,676 : 1,037,514 = 1,037,514 : x
  2. Step 2: Convert to fraction form
    691,676/1,037,514 = 1,037,514/x
  3. Step 3: Cross multiply
    691,676x = 1,037,514 × 1,037,514
  4. Step 4: Simplify right side
    691,676x = 1,076,435,300,196
  5. Step 5: Solve for x
    x = 1,076,435,300,196/691,676
  6. Step 6: Final answer
    x = 1,556,271

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