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Finding the Third Proportional to 1,749,384 and 2,856,588

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Solution

The third proportional to 1,749,384 and 2,856,588 is: 4,664,553.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,384 : 2,856,588 = 2,856,588 : x
  2. Step 2: Convert to fraction form
    1,749,384/2,856,588 = 2,856,588/x
  3. Step 3: Cross multiply
    1,749,384x = 2,856,588 × 2,856,588
  4. Step 4: Simplify right side
    1,749,384x = 8,160,095,001,744
  5. Step 5: Solve for x
    x = 8,160,095,001,744/1,749,384
  6. Step 6: Final answer
    x = 4,664,553.35

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.