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Finding the Third Proportional to 1,749,408 and 2,856,624

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Solution

The third proportional to 1,749,408 and 2,856,624 is: 4,664,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,408 : 2,856,624 = 2,856,624 : x
  2. Step 2: Convert to fraction form
    1,749,408/2,856,624 = 2,856,624/x
  3. Step 3: Cross multiply
    1,749,408x = 2,856,624 × 2,856,624
  4. Step 4: Simplify right side
    1,749,408x = 8,160,300,677,376
  5. Step 5: Solve for x
    x = 8,160,300,677,376/1,749,408
  6. Step 6: Final answer
    x = 4,664,606.93

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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.