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Finding the Third Proportional to 2,299,614 and 4,837,584

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Solution

The third proportional to 2,299,614 and 4,837,584 is: 10,176,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,614 : 4,837,584 = 4,837,584 : x
  2. Step 2: Convert to fraction form
    2,299,614/4,837,584 = 4,837,584/x
  3. Step 3: Cross multiply
    2,299,614x = 4,837,584 × 4,837,584
  4. Step 4: Simplify right side
    2,299,614x = 23,402,218,957,056
  5. Step 5: Solve for x
    x = 23,402,218,957,056/2,299,614
  6. Step 6: Final answer
    x = 10,176,585.70

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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.