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Finding the Third Proportional to 3,092,304.94 and 4,718,420.44

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Solution

The third proportional to 3,092,304.94 and 4,718,420.44 is: 7,199,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092,304.94 : 4,718,420.44 = 4,718,420.44 : x
  2. Step 2: Convert to fraction form
    3,092,304.94/4,718,420.44 = 4,718,420.44/x
  3. Step 3: Cross multiply
    3,092,304.94x = 4,718,420.44 × 4,718,420.44
  4. Step 4: Simplify right side
    3,092,304.94x = 22,263,491,425,017.69
  5. Step 5: Solve for x
    x = 22,263,491,425,017.69/3,092,304.94
  6. Step 6: Final answer
    x = 7,199,642.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.