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Finding the Third Proportional to 1,417,564 and 3,031,832

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Solution

The third proportional to 1,417,564 and 3,031,832 is: 6,484,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,564 : 3,031,832 = 3,031,832 : x
  2. Step 2: Convert to fraction form
    1,417,564/3,031,832 = 3,031,832/x
  3. Step 3: Cross multiply
    1,417,564x = 3,031,832 × 3,031,832
  4. Step 4: Simplify right side
    1,417,564x = 9,192,005,276,224
  5. Step 5: Solve for x
    x = 9,192,005,276,224/1,417,564
  6. Step 6: Final answer
    x = 6,484,367.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.