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Finding the Third Proportional to 657,087 and 1,412,337

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Solution

The third proportional to 657,087 and 1,412,337 is: 3,035,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,087 : 1,412,337 = 1,412,337 : x
  2. Step 2: Convert to fraction form
    657,087/1,412,337 = 1,412,337/x
  3. Step 3: Cross multiply
    657,087x = 1,412,337 × 1,412,337
  4. Step 4: Simplify right side
    657,087x = 1,994,695,801,569
  5. Step 5: Solve for x
    x = 1,994,695,801,569/657,087
  6. Step 6: Final answer
    x = 3,035,664.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.