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Finding the Third Proportional to 677,080 and 1,441,888

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Solution

The third proportional to 677,080 and 1,441,888 is: 3,070,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,080 : 1,441,888 = 1,441,888 : x
  2. Step 2: Convert to fraction form
    677,080/1,441,888 = 1,441,888/x
  3. Step 3: Cross multiply
    677,080x = 1,441,888 × 1,441,888
  4. Step 4: Simplify right side
    677,080x = 2,079,041,004,544
  5. Step 5: Solve for x
    x = 2,079,041,004,544/677,080
  6. Step 6: Final answer
    x = 3,070,598.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.