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Finding the Third Proportional to 652,315 and 1,037,766

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Solution

The third proportional to 652,315 and 1,037,766 is: 1,650,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,315 : 1,037,766 = 1,037,766 : x
  2. Step 2: Convert to fraction form
    652,315/1,037,766 = 1,037,766/x
  3. Step 3: Cross multiply
    652,315x = 1,037,766 × 1,037,766
  4. Step 4: Simplify right side
    652,315x = 1,076,958,270,756
  5. Step 5: Solve for x
    x = 1,076,958,270,756/652,315
  6. Step 6: Final answer
    x = 1,650,978.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.