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Finding the Third Proportional to 1,001,462 and 1,527,417

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Solution

The third proportional to 1,001,462 and 1,527,417 is: 2,329,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,462 : 1,527,417 = 1,527,417 : x
  2. Step 2: Convert to fraction form
    1,001,462/1,527,417 = 1,527,417/x
  3. Step 3: Cross multiply
    1,001,462x = 1,527,417 × 1,527,417
  4. Step 4: Simplify right side
    1,001,462x = 2,333,002,691,889
  5. Step 5: Solve for x
    x = 2,333,002,691,889/1,001,462
  6. Step 6: Final answer
    x = 2,329,596.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.