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Finding the Third Proportional to 3,122,766 and 4,658,242.50

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Solution

The third proportional to 3,122,766 and 4,658,242.50 is: 6,948,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122,766 : 4,658,242.50 = 4,658,242.50 : x
  2. Step 2: Convert to fraction form
    3,122,766/4,658,242.50 = 4,658,242.50/x
  3. Step 3: Cross multiply
    3,122,766x = 4,658,242.50 × 4,658,242.50
  4. Step 4: Simplify right side
    3,122,766x = 21,699,223,188,806.25
  5. Step 5: Solve for x
    x = 21,699,223,188,806.25/3,122,766
  6. Step 6: Final answer
    x = 6,948,718.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.