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Finding the Third Proportional to 461,007 and 1,006,074

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Solution

The third proportional to 461,007 and 1,006,074 is: 2,195,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,007 : 1,006,074 = 1,006,074 : x
  2. Step 2: Convert to fraction form
    461,007/1,006,074 = 1,006,074/x
  3. Step 3: Cross multiply
    461,007x = 1,006,074 × 1,006,074
  4. Step 4: Simplify right side
    461,007x = 1,012,184,893,476
  5. Step 5: Solve for x
    x = 1,012,184,893,476/461,007
  6. Step 6: Final answer
    x = 2,195,595.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.