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Finding the Third Proportional to 592,980 and 1,304,043

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Solution

The third proportional to 592,980 and 1,304,043 is: 2,867,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,980 : 1,304,043 = 1,304,043 : x
  2. Step 2: Convert to fraction form
    592,980/1,304,043 = 1,304,043/x
  3. Step 3: Cross multiply
    592,980x = 1,304,043 × 1,304,043
  4. Step 4: Simplify right side
    592,980x = 1,700,528,145,849
  5. Step 5: Solve for x
    x = 1,700,528,145,849/592,980
  6. Step 6: Final answer
    x = 2,867,766.44

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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.