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Finding the Third Proportional to 2,127,816 and 4,617,328

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Solution

The third proportional to 2,127,816 and 4,617,328 is: 10,019,530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127,816 : 4,617,328 = 4,617,328 : x
  2. Step 2: Convert to fraction form
    2,127,816/4,617,328 = 4,617,328/x
  3. Step 3: Cross multiply
    2,127,816x = 4,617,328 × 4,617,328
  4. Step 4: Simplify right side
    2,127,816x = 21,319,717,859,584
  5. Step 5: Solve for x
    x = 21,319,717,859,584/2,127,816
  6. Step 6: Final answer
    x = 10,019,530.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.