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Finding the Third Proportional to 878,998 and 1,865,911

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Solution

The third proportional to 878,998 and 1,865,911 is: 3,960,900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,998 : 1,865,911 = 1,865,911 : x
  2. Step 2: Convert to fraction form
    878,998/1,865,911 = 1,865,911/x
  3. Step 3: Cross multiply
    878,998x = 1,865,911 × 1,865,911
  4. Step 4: Simplify right side
    878,998x = 3,481,623,859,921
  5. Step 5: Solve for x
    x = 3,481,623,859,921/878,998
  6. Step 6: Final answer
    x = 3,960,900.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.