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Finding the Third Proportional to 4,137,459 and 6,422,701.50

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Solution

The third proportional to 4,137,459 and 6,422,701.50 is: 9,970,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137,459 : 6,422,701.50 = 6,422,701.50 : x
  2. Step 2: Convert to fraction form
    4,137,459/6,422,701.50 = 6,422,701.50/x
  3. Step 3: Cross multiply
    4,137,459x = 6,422,701.50 × 6,422,701.50
  4. Step 4: Simplify right side
    4,137,459x = 41,251,094,558,102.25
  5. Step 5: Solve for x
    x = 41,251,094,558,102.25/4,137,459
  6. Step 6: Final answer
    x = 9,970,151.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.