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Finding the Third Proportional to 3,011,469.47 and 4,587,783.47

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Solution

The third proportional to 3,011,469.47 and 4,587,783.47 is: 6,989,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011,469.47 : 4,587,783.47 = 4,587,783.47 : x
  2. Step 2: Convert to fraction form
    3,011,469.47/4,587,783.47 = 4,587,783.47/x
  3. Step 3: Cross multiply
    3,011,469.47x = 4,587,783.47 × 4,587,783.47
  4. Step 4: Simplify right side
    3,011,469.47x = 21,047,757,156,135.78
  5. Step 5: Solve for x
    x = 21,047,757,156,135.78/3,011,469.47
  6. Step 6: Final answer
    x = 6,989,198.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.