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Finding the Third Proportional to 3,191,974.59 and 4,478,973.47

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Solution

The third proportional to 3,191,974.59 and 4,478,973.47 is: 6,284,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191,974.59 : 4,478,973.47 = 4,478,973.47 : x
  2. Step 2: Convert to fraction form
    3,191,974.59/4,478,973.47 = 4,478,973.47/x
  3. Step 3: Cross multiply
    3,191,974.59x = 4,478,973.47 × 4,478,973.47
  4. Step 4: Simplify right side
    3,191,974.59x = 20,061,203,333,766.41
  5. Step 5: Solve for x
    x = 20,061,203,333,766.41/3,191,974.59
  6. Step 6: Final answer
    x = 6,284,888.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.