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Finding the Third Proportional to 2,458,386 and 3,847,972.50

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Solution

The third proportional to 2,458,386 and 3,847,972.50 is: 6,023,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458,386 : 3,847,972.50 = 3,847,972.50 : x
  2. Step 2: Convert to fraction form
    2,458,386/3,847,972.50 = 3,847,972.50/x
  3. Step 3: Cross multiply
    2,458,386x = 3,847,972.50 × 3,847,972.50
  4. Step 4: Simplify right side
    2,458,386x = 14,806,892,360,756.25
  5. Step 5: Solve for x
    x = 14,806,892,360,756.25/2,458,386
  6. Step 6: Final answer
    x = 6,023,013.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.