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Finding the Third Proportional to 2,299,645.50 and 4,837,617

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Solution

The third proportional to 2,299,645.50 and 4,837,617 is: 10,176,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,645.50 : 4,837,617 = 4,837,617 : x
  2. Step 2: Convert to fraction form
    2,299,645.50/4,837,617 = 4,837,617/x
  3. Step 3: Cross multiply
    2,299,645.50x = 4,837,617 × 4,837,617
  4. Step 4: Simplify right side
    2,299,645.50x = 23,402,538,238,689
  5. Step 5: Solve for x
    x = 23,402,538,238,689/2,299,645.50
  6. Step 6: Final answer
    x = 10,176,585.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.