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Finding the Third Proportional to 2,014,792 and 4,384,040

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Solution

The third proportional to 2,014,792 and 4,384,040 is: 9,539,350.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,792 : 4,384,040 = 4,384,040 : x
  2. Step 2: Convert to fraction form
    2,014,792/4,384,040 = 4,384,040/x
  3. Step 3: Cross multiply
    2,014,792x = 4,384,040 × 4,384,040
  4. Step 4: Simplify right side
    2,014,792x = 19,219,806,721,600
  5. Step 5: Solve for x
    x = 19,219,806,721,600/2,014,792
  6. Step 6: Final answer
    x = 9,539,350.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.