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Finding the Third Proportional to 1,438,972 and 2,078,904

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Solution

The third proportional to 1,438,972 and 2,078,904 is: 3,003,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,972 : 2,078,904 = 2,078,904 : x
  2. Step 2: Convert to fraction form
    1,438,972/2,078,904 = 2,078,904/x
  3. Step 3: Cross multiply
    1,438,972x = 2,078,904 × 2,078,904
  4. Step 4: Simplify right side
    1,438,972x = 4,321,841,841,216
  5. Step 5: Solve for x
    x = 4,321,841,841,216/1,438,972
  6. Step 6: Final answer
    x = 3,003,423.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.