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Finding the Third Proportional to 418,103 and 917,404

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Solution

The third proportional to 418,103 and 917,404 is: 2,012,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,103 : 917,404 = 917,404 : x
  2. Step 2: Convert to fraction form
    418,103/917,404 = 917,404/x
  3. Step 3: Cross multiply
    418,103x = 917,404 × 917,404
  4. Step 4: Simplify right side
    418,103x = 841,630,099,216
  5. Step 5: Solve for x
    x = 841,630,099,216/418,103
  6. Step 6: Final answer
    x = 2,012,973.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.