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Finding the Third Proportional to 1,057,259 and 1,702,349

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Solution

The third proportional to 1,057,259 and 1,702,349 is: 2,741,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,259 : 1,702,349 = 1,702,349 : x
  2. Step 2: Convert to fraction form
    1,057,259/1,702,349 = 1,702,349/x
  3. Step 3: Cross multiply
    1,057,259x = 1,702,349 × 1,702,349
  4. Step 4: Simplify right side
    1,057,259x = 2,897,992,117,801
  5. Step 5: Solve for x
    x = 2,897,992,117,801/1,057,259
  6. Step 6: Final answer
    x = 2,741,042.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.