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Finding the Third Proportional to 2,095,696 and 3,155,784

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Solution

The third proportional to 2,095,696 and 3,155,784 is: 4,752,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,696 : 3,155,784 = 3,155,784 : x
  2. Step 2: Convert to fraction form
    2,095,696/3,155,784 = 3,155,784/x
  3. Step 3: Cross multiply
    2,095,696x = 3,155,784 × 3,155,784
  4. Step 4: Simplify right side
    2,095,696x = 9,958,972,654,656
  5. Step 5: Solve for x
    x = 9,958,972,654,656/2,095,696
  6. Step 6: Final answer
    x = 4,752,107.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.