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Finding the Third Proportional to 1,003,929.75 and 1,957,419

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Solution

The third proportional to 1,003,929.75 and 1,957,419 is: 3,816,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,929.75 : 1,957,419 = 1,957,419 : x
  2. Step 2: Convert to fraction form
    1,003,929.75/1,957,419 = 1,957,419/x
  3. Step 3: Cross multiply
    1,003,929.75x = 1,957,419 × 1,957,419
  4. Step 4: Simplify right side
    1,003,929.75x = 3,831,489,141,561
  5. Step 5: Solve for x
    x = 3,831,489,141,561/1,003,929.75
  6. Step 6: Final answer
    x = 3,816,491.28

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.