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Finding the Third Proportional to 2,411,680.50 and 3,838,914

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Solution

The third proportional to 2,411,680.50 and 3,838,914 is: 6,110,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,680.50 : 3,838,914 = 3,838,914 : x
  2. Step 2: Convert to fraction form
    2,411,680.50/3,838,914 = 3,838,914/x
  3. Step 3: Cross multiply
    2,411,680.50x = 3,838,914 × 3,838,914
  4. Step 4: Simplify right side
    2,411,680.50x = 14,737,260,699,396
  5. Step 5: Solve for x
    x = 14,737,260,699,396/2,411,680.50
  6. Step 6: Final answer
    x = 6,110,784.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.