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Finding the Third Proportional to 488,434 and 1,041,385

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Solution

The third proportional to 488,434 and 1,041,385 is: 2,220,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,434 : 1,041,385 = 1,041,385 : x
  2. Step 2: Convert to fraction form
    488,434/1,041,385 = 1,041,385/x
  3. Step 3: Cross multiply
    488,434x = 1,041,385 × 1,041,385
  4. Step 4: Simplify right side
    488,434x = 1,084,482,718,225
  5. Step 5: Solve for x
    x = 1,084,482,718,225/488,434
  6. Step 6: Final answer
    x = 2,220,326.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.