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Finding the Third Proportional to 2,262,026 and 4,785,844

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Solution

The third proportional to 2,262,026 and 4,785,844 is: 10,125,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262,026 : 4,785,844 = 4,785,844 : x
  2. Step 2: Convert to fraction form
    2,262,026/4,785,844 = 4,785,844/x
  3. Step 3: Cross multiply
    2,262,026x = 4,785,844 × 4,785,844
  4. Step 4: Simplify right side
    2,262,026x = 22,904,302,792,336
  5. Step 5: Solve for x
    x = 22,904,302,792,336/2,262,026
  6. Step 6: Final answer
    x = 10,125,570.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.