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Finding the Third Proportional to 817,970 and 1,676,640

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Solution

The third proportional to 817,970 and 1,676,640 is: 3,436,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,970 : 1,676,640 = 1,676,640 : x
  2. Step 2: Convert to fraction form
    817,970/1,676,640 = 1,676,640/x
  3. Step 3: Cross multiply
    817,970x = 1,676,640 × 1,676,640
  4. Step 4: Simplify right side
    817,970x = 2,811,121,689,600
  5. Step 5: Solve for x
    x = 2,811,121,689,600/817,970
  6. Step 6: Final answer
    x = 3,436,705.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.