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Finding the Third Proportional to 478,725 and 1,037,234

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Solution

The third proportional to 478,725 and 1,037,234 is: 2,247,332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,725 : 1,037,234 = 1,037,234 : x
  2. Step 2: Convert to fraction form
    478,725/1,037,234 = 1,037,234/x
  3. Step 3: Cross multiply
    478,725x = 1,037,234 × 1,037,234
  4. Step 4: Simplify right side
    478,725x = 1,075,854,370,756
  5. Step 5: Solve for x
    x = 1,075,854,370,756/478,725
  6. Step 6: Final answer
    x = 2,247,332.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.