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Finding the Third Proportional to 467,877 and 1,013,511

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Solution

The third proportional to 467,877 and 1,013,511 is: 2,195,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,877 : 1,013,511 = 1,013,511 : x
  2. Step 2: Convert to fraction form
    467,877/1,013,511 = 1,013,511/x
  3. Step 3: Cross multiply
    467,877x = 1,013,511 × 1,013,511
  4. Step 4: Simplify right side
    467,877x = 1,027,204,547,121
  5. Step 5: Solve for x
    x = 1,027,204,547,121/467,877
  6. Step 6: Final answer
    x = 2,195,458.52

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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.