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Finding the Third Proportional to 1,648,542 and 3,514,836

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Solution

The third proportional to 1,648,542 and 3,514,836 is: 7,493,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,542 : 3,514,836 = 3,514,836 : x
  2. Step 2: Convert to fraction form
    1,648,542/3,514,836 = 3,514,836/x
  3. Step 3: Cross multiply
    1,648,542x = 3,514,836 × 3,514,836
  4. Step 4: Simplify right side
    1,648,542x = 12,354,072,106,896
  5. Step 5: Solve for x
    x = 12,354,072,106,896/1,648,542
  6. Step 6: Final answer
    x = 7,493,938.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.