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Finding the Third Proportional to 646,095 and 1,420,542

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Solution

The third proportional to 646,095 and 1,420,542 is: 3,123,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,095 : 1,420,542 = 1,420,542 : x
  2. Step 2: Convert to fraction form
    646,095/1,420,542 = 1,420,542/x
  3. Step 3: Cross multiply
    646,095x = 1,420,542 × 1,420,542
  4. Step 4: Simplify right side
    646,095x = 2,017,939,573,764
  5. Step 5: Solve for x
    x = 2,017,939,573,764/646,095
  6. Step 6: Final answer
    x = 3,123,286.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.