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Finding the Third Proportional to 1,648,485 and 3,514,711

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Solution

The third proportional to 1,648,485 and 3,514,711 is: 7,493,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,485 : 3,514,711 = 3,514,711 : x
  2. Step 2: Convert to fraction form
    1,648,485/3,514,711 = 3,514,711/x
  3. Step 3: Cross multiply
    1,648,485x = 3,514,711 × 3,514,711
  4. Step 4: Simplify right side
    1,648,485x = 12,353,193,413,521
  5. Step 5: Solve for x
    x = 12,353,193,413,521/1,648,485
  6. Step 6: Final answer
    x = 7,493,664.43

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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.