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Finding the Third Proportional to 754,172 and 1,054,939

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Solution

The third proportional to 754,172 and 1,054,939 is: 1,475,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,172 : 1,054,939 = 1,054,939 : x
  2. Step 2: Convert to fraction form
    754,172/1,054,939 = 1,054,939/x
  3. Step 3: Cross multiply
    754,172x = 1,054,939 × 1,054,939
  4. Step 4: Simplify right side
    754,172x = 1,112,896,293,721
  5. Step 5: Solve for x
    x = 1,112,896,293,721/754,172
  6. Step 6: Final answer
    x = 1,475,653.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.