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Finding the Third Proportional to 478,714 and 1,037,213

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Solution

The third proportional to 478,714 and 1,037,213 is: 2,247,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,714 : 1,037,213 = 1,037,213 : x
  2. Step 2: Convert to fraction form
    478,714/1,037,213 = 1,037,213/x
  3. Step 3: Cross multiply
    478,714x = 1,037,213 × 1,037,213
  4. Step 4: Simplify right side
    478,714x = 1,075,810,807,369
  5. Step 5: Solve for x
    x = 1,075,810,807,369/478,714
  6. Step 6: Final answer
    x = 2,247,293.39

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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.