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Finding the Third Proportional to 478,717.59 and 1,037,218.92

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Solution

The third proportional to 478,717.59 and 1,037,218.92 is: 2,247,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,717.59 : 1,037,218.92 = 1,037,218.92 : x
  2. Step 2: Convert to fraction form
    478,717.59/1,037,218.92 = 1,037,218.92/x
  3. Step 3: Cross multiply
    478,717.59x = 1,037,218.92 × 1,037,218.92
  4. Step 4: Simplify right side
    478,717.59x = 1,075,823,091,895.54
  5. Step 5: Solve for x
    x = 1,075,823,091,895.54/478,717.59
  6. Step 6: Final answer
    x = 2,247,302.18

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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.