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Finding the Third Proportional to 1,417,878 and 2,179,381

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Solution

The third proportional to 1,417,878 and 2,179,381 is: 3,349,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,878 : 2,179,381 = 2,179,381 : x
  2. Step 2: Convert to fraction form
    1,417,878/2,179,381 = 2,179,381/x
  3. Step 3: Cross multiply
    1,417,878x = 2,179,381 × 2,179,381
  4. Step 4: Simplify right side
    1,417,878x = 4,749,701,543,161
  5. Step 5: Solve for x
    x = 4,749,701,543,161/1,417,878
  6. Step 6: Final answer
    x = 3,349,866.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.