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Finding the Third Proportional to 2,869,590 and 4,394,781.50

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Solution

The third proportional to 2,869,590 and 4,394,781.50 is: 6,730,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869,590 : 4,394,781.50 = 4,394,781.50 : x
  2. Step 2: Convert to fraction form
    2,869,590/4,394,781.50 = 4,394,781.50/x
  3. Step 3: Cross multiply
    2,869,590x = 4,394,781.50 × 4,394,781.50
  4. Step 4: Simplify right side
    2,869,590x = 19,314,104,432,742.25
  5. Step 5: Solve for x
    x = 19,314,104,432,742.25/2,869,590
  6. Step 6: Final answer
    x = 6,730,614.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.