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Finding the Third Proportional to 2,198,748 and 3,363,511.50

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Solution

The third proportional to 2,198,748 and 3,363,511.50 is: 5,145,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,748 : 3,363,511.50 = 3,363,511.50 : x
  2. Step 2: Convert to fraction form
    2,198,748/3,363,511.50 = 3,363,511.50/x
  3. Step 3: Cross multiply
    2,198,748x = 3,363,511.50 × 3,363,511.50
  4. Step 4: Simplify right side
    2,198,748x = 11,313,209,610,632.25
  5. Step 5: Solve for x
    x = 11,313,209,610,632.25/2,198,748
  6. Step 6: Final answer
    x = 5,145,296.15

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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.