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Finding the Third Proportional to 602,446 and 1,304,077

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Solution

The third proportional to 602,446 and 1,304,077 is: 2,822,853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,446 : 1,304,077 = 1,304,077 : x
  2. Step 2: Convert to fraction form
    602,446/1,304,077 = 1,304,077/x
  3. Step 3: Cross multiply
    602,446x = 1,304,077 × 1,304,077
  4. Step 4: Simplify right side
    602,446x = 1,700,616,821,929
  5. Step 5: Solve for x
    x = 1,700,616,821,929/602,446
  6. Step 6: Final answer
    x = 2,822,853.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.