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Finding the Third Proportional to 602,199 and 1,309,373

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Solution

The third proportional to 602,199 and 1,309,373 is: 2,846,995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,199 : 1,309,373 = 1,309,373 : x
  2. Step 2: Convert to fraction form
    602,199/1,309,373 = 1,309,373/x
  3. Step 3: Cross multiply
    602,199x = 1,309,373 × 1,309,373
  4. Step 4: Simplify right side
    602,199x = 1,714,457,653,129
  5. Step 5: Solve for x
    x = 1,714,457,653,129/602,199
  6. Step 6: Final answer
    x = 2,846,995.18

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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.