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Finding the Third Proportional to 1,154,877 and 2,382,927

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Solution

The third proportional to 1,154,877 and 2,382,927 is: 4,916,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,877 : 2,382,927 = 2,382,927 : x
  2. Step 2: Convert to fraction form
    1,154,877/2,382,927 = 2,382,927/x
  3. Step 3: Cross multiply
    1,154,877x = 2,382,927 × 2,382,927
  4. Step 4: Simplify right side
    1,154,877x = 5,678,341,087,329
  5. Step 5: Solve for x
    x = 5,678,341,087,329/1,154,877
  6. Step 6: Final answer
    x = 4,916,836.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.