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Finding the Third Proportional to 592,967.25 and 1,300,206.38

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Solution

The third proportional to 592,967.25 and 1,300,206.38 is: 2,850,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,967.25 : 1,300,206.38 = 1,300,206.38 : x
  2. Step 2: Convert to fraction form
    592,967.25/1,300,206.38 = 1,300,206.38/x
  3. Step 3: Cross multiply
    592,967.25x = 1,300,206.38 × 1,300,206.38
  4. Step 4: Simplify right side
    592,967.25x = 1,690,536,617,590.64
  5. Step 5: Solve for x
    x = 1,690,536,617,590.64/592,967.25
  6. Step 6: Final answer
    x = 2,850,978.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.