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Finding the Third Proportional to 757,924 and 1,637,288

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Solution

The third proportional to 757,924 and 1,637,288 is: 3,536,913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,924 : 1,637,288 = 1,637,288 : x
  2. Step 2: Convert to fraction form
    757,924/1,637,288 = 1,637,288/x
  3. Step 3: Cross multiply
    757,924x = 1,637,288 × 1,637,288
  4. Step 4: Simplify right side
    757,924x = 2,680,711,994,944
  5. Step 5: Solve for x
    x = 2,680,711,994,944/757,924
  6. Step 6: Final answer
    x = 3,536,913.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.