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Finding the Third Proportional to 2,941,299 and 4,050,337.50

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Solution

The third proportional to 2,941,299 and 4,050,337.50 is: 5,577,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941,299 : 4,050,337.50 = 4,050,337.50 : x
  2. Step 2: Convert to fraction form
    2,941,299/4,050,337.50 = 4,050,337.50/x
  3. Step 3: Cross multiply
    2,941,299x = 4,050,337.50 × 4,050,337.50
  4. Step 4: Simplify right side
    2,941,299x = 16,405,233,863,906.25
  5. Step 5: Solve for x
    x = 16,405,233,863,906.25/2,941,299
  6. Step 6: Final answer
    x = 5,577,547.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.