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Finding the Third Proportional to 2,275,398 and 4,915,201.50

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Solution

The third proportional to 2,275,398 and 4,915,201.50 is: 10,617,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275,398 : 4,915,201.50 = 4,915,201.50 : x
  2. Step 2: Convert to fraction form
    2,275,398/4,915,201.50 = 4,915,201.50/x
  3. Step 3: Cross multiply
    2,275,398x = 4,915,201.50 × 4,915,201.50
  4. Step 4: Simplify right side
    2,275,398x = 24,159,205,785,602.25
  5. Step 5: Solve for x
    x = 24,159,205,785,602.25/2,275,398
  6. Step 6: Final answer
    x = 10,617,573.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.