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Finding the Third Proportional to 2,277,423 and 3,439,658.25

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Solution

The third proportional to 2,277,423 and 3,439,658.25 is: 5,195,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277,423 : 3,439,658.25 = 3,439,658.25 : x
  2. Step 2: Convert to fraction form
    2,277,423/3,439,658.25 = 3,439,658.25/x
  3. Step 3: Cross multiply
    2,277,423x = 3,439,658.25 × 3,439,658.25
  4. Step 4: Simplify right side
    2,277,423x = 11,831,248,876,793.06
  5. Step 5: Solve for x
    x = 11,831,248,876,793.06/2,277,423
  6. Step 6: Final answer
    x = 5,195,015.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.