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Finding the Third Proportional to 461,154 and 1,003,076

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Solution

The third proportional to 461,154 and 1,003,076 is: 2,181,833.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,154 : 1,003,076 = 1,003,076 : x
  2. Step 2: Convert to fraction form
    461,154/1,003,076 = 1,003,076/x
  3. Step 3: Cross multiply
    461,154x = 1,003,076 × 1,003,076
  4. Step 4: Simplify right side
    461,154x = 1,006,161,461,776
  5. Step 5: Solve for x
    x = 1,006,161,461,776/461,154
  6. Step 6: Final answer
    x = 2,181,833.97

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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.