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Finding the Third Proportional to 602,646 and 1,297,542

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Solution

The third proportional to 602,646 and 1,297,542 is: 2,793,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,646 : 1,297,542 = 1,297,542 : x
  2. Step 2: Convert to fraction form
    602,646/1,297,542 = 1,297,542/x
  3. Step 3: Cross multiply
    602,646x = 1,297,542 × 1,297,542
  4. Step 4: Simplify right side
    602,646x = 1,683,615,241,764
  5. Step 5: Solve for x
    x = 1,683,615,241,764/602,646
  6. Step 6: Final answer
    x = 2,793,705.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.