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Finding the Third Proportional to 3,137,724 and 4,418,509.50

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Solution

The third proportional to 3,137,724 and 4,418,509.50 is: 6,222,097.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137,724 : 4,418,509.50 = 4,418,509.50 : x
  2. Step 2: Convert to fraction form
    3,137,724/4,418,509.50 = 4,418,509.50/x
  3. Step 3: Cross multiply
    3,137,724x = 4,418,509.50 × 4,418,509.50
  4. Step 4: Simplify right side
    3,137,724x = 19,523,226,201,590.25
  5. Step 5: Solve for x
    x = 19,523,226,201,590.25/3,137,724
  6. Step 6: Final answer
    x = 6,222,097.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.