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Finding the Third Proportional to 1,286,355.94 and 2,796,904.69

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Solution

The third proportional to 1,286,355.94 and 2,796,904.69 is: 6,081,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,355.94 : 2,796,904.69 = 2,796,904.69 : x
  2. Step 2: Convert to fraction form
    1,286,355.94/2,796,904.69 = 2,796,904.69/x
  3. Step 3: Cross multiply
    1,286,355.94x = 2,796,904.69 × 2,796,904.69
  4. Step 4: Simplify right side
    1,286,355.94x = 7,822,675,830,959.47
  5. Step 5: Solve for x
    x = 7,822,675,830,959.47/1,286,355.94
  6. Step 6: Final answer
    x = 6,081,268.49

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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.