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Finding the Third Proportional to 1,077,737 and 1,569,220

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Solution

The third proportional to 1,077,737 and 1,569,220 is: 2,284,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,737 : 1,569,220 = 1,569,220 : x
  2. Step 2: Convert to fraction form
    1,077,737/1,569,220 = 1,569,220/x
  3. Step 3: Cross multiply
    1,077,737x = 1,569,220 × 1,569,220
  4. Step 4: Simplify right side
    1,077,737x = 2,462,451,408,400
  5. Step 5: Solve for x
    x = 2,462,451,408,400/1,077,737
  6. Step 6: Final answer
    x = 2,284,835.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.