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Finding the Third Proportional to 1,762,514 and 3,865,472

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Solution

The third proportional to 1,762,514 and 3,865,472 is: 8,477,591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,514 : 3,865,472 = 3,865,472 : x
  2. Step 2: Convert to fraction form
    1,762,514/3,865,472 = 3,865,472/x
  3. Step 3: Cross multiply
    1,762,514x = 3,865,472 × 3,865,472
  4. Step 4: Simplify right side
    1,762,514x = 14,941,873,782,784
  5. Step 5: Solve for x
    x = 14,941,873,782,784/1,762,514
  6. Step 6: Final answer
    x = 8,477,591.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.