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Finding the Third Proportional to 2,286,076 and 3,134,844

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Solution

The third proportional to 2,286,076 and 3,134,844 is: 4,298,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286,076 : 3,134,844 = 3,134,844 : x
  2. Step 2: Convert to fraction form
    2,286,076/3,134,844 = 3,134,844/x
  3. Step 3: Cross multiply
    2,286,076x = 3,134,844 × 3,134,844
  4. Step 4: Simplify right side
    2,286,076x = 9,827,246,904,336
  5. Step 5: Solve for x
    x = 9,827,246,904,336/2,286,076
  6. Step 6: Final answer
    x = 4,298,740.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.