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Finding the Third Proportional to 574,095 and 1,235,943

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Solution

The third proportional to 574,095 and 1,235,943 is: 2,660,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,095 : 1,235,943 = 1,235,943 : x
  2. Step 2: Convert to fraction form
    574,095/1,235,943 = 1,235,943/x
  3. Step 3: Cross multiply
    574,095x = 1,235,943 × 1,235,943
  4. Step 4: Simplify right side
    574,095x = 1,527,555,099,249
  5. Step 5: Solve for x
    x = 1,527,555,099,249/574,095
  6. Step 6: Final answer
    x = 2,660,805.44

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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.