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Finding the Third Proportional to 874,754 and 1,307,577

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Solution

The third proportional to 874,754 and 1,307,577 is: 1,954,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,754 : 1,307,577 = 1,307,577 : x
  2. Step 2: Convert to fraction form
    874,754/1,307,577 = 1,307,577/x
  3. Step 3: Cross multiply
    874,754x = 1,307,577 × 1,307,577
  4. Step 4: Simplify right side
    874,754x = 1,709,757,610,929
  5. Step 5: Solve for x
    x = 1,709,757,610,929/874,754
  6. Step 6: Final answer
    x = 1,954,558.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.