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Finding the Third Proportional to 1,002,858 and 1,553,497

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Solution

The third proportional to 1,002,858 and 1,553,497 is: 2,406,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,858 : 1,553,497 = 1,553,497 : x
  2. Step 2: Convert to fraction form
    1,002,858/1,553,497 = 1,553,497/x
  3. Step 3: Cross multiply
    1,002,858x = 1,553,497 × 1,553,497
  4. Step 4: Simplify right side
    1,002,858x = 2,413,352,929,009
  5. Step 5: Solve for x
    x = 2,413,352,929,009/1,002,858
  6. Step 6: Final answer
    x = 2,406,475.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.