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Finding the Third Proportional to 1,661,045 and 2,562,399

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Solution

The third proportional to 1,661,045 and 2,562,399 is: 3,952,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,045 : 2,562,399 = 2,562,399 : x
  2. Step 2: Convert to fraction form
    1,661,045/2,562,399 = 2,562,399/x
  3. Step 3: Cross multiply
    1,661,045x = 2,562,399 × 2,562,399
  4. Step 4: Simplify right side
    1,661,045x = 6,565,888,635,201
  5. Step 5: Solve for x
    x = 6,565,888,635,201/1,661,045
  6. Step 6: Final answer
    x = 3,952,866.20

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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.