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Finding the Third Proportional to 1,253,866 and 2,959,417

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Solution

The third proportional to 1,253,866 and 2,959,417 is: 6,984,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,866 : 2,959,417 = 2,959,417 : x
  2. Step 2: Convert to fraction form
    1,253,866/2,959,417 = 2,959,417/x
  3. Step 3: Cross multiply
    1,253,866x = 2,959,417 × 2,959,417
  4. Step 4: Simplify right side
    1,253,866x = 8,758,148,979,889
  5. Step 5: Solve for x
    x = 8,758,148,979,889/1,253,866
  6. Step 6: Final answer
    x = 6,984,916.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.