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Finding the Third Proportional to 2,635,844 and 5,784,904

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Solution

The third proportional to 2,635,844 and 5,784,904 is: 12,696,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635,844 : 5,784,904 = 5,784,904 : x
  2. Step 2: Convert to fraction form
    2,635,844/5,784,904 = 5,784,904/x
  3. Step 3: Cross multiply
    2,635,844x = 5,784,904 × 5,784,904
  4. Step 4: Simplify right side
    2,635,844x = 33,465,114,289,216
  5. Step 5: Solve for x
    x = 33,465,114,289,216/2,635,844
  6. Step 6: Final answer
    x = 12,696,166.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.