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Finding the Third Proportional to 1,577,144.04 and 3,431,074.57

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Solution

The third proportional to 1,577,144.04 and 3,431,074.57 is: 7,464,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,144.04 : 3,431,074.57 = 3,431,074.57 : x
  2. Step 2: Convert to fraction form
    1,577,144.04/3,431,074.57 = 3,431,074.57/x
  3. Step 3: Cross multiply
    1,577,144.04x = 3,431,074.57 × 3,431,074.57
  4. Step 4: Simplify right side
    1,577,144.04x = 11,772,272,707,045.11
  5. Step 5: Solve for x
    x = 11,772,272,707,045.11/1,577,144.04
  6. Step 6: Final answer
    x = 7,464,297.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.