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Finding the Third Proportional to 1,293,584 and 2,721,216

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Solution

The third proportional to 1,293,584 and 2,721,216 is: 5,724,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,584 : 2,721,216 = 2,721,216 : x
  2. Step 2: Convert to fraction form
    1,293,584/2,721,216 = 2,721,216/x
  3. Step 3: Cross multiply
    1,293,584x = 2,721,216 × 2,721,216
  4. Step 4: Simplify right side
    1,293,584x = 7,405,016,518,656
  5. Step 5: Solve for x
    x = 7,405,016,518,656/1,293,584
  6. Step 6: Final answer
    x = 5,724,418.76

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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.