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Finding the Third Proportional to 753,542 and 1,054,023

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Solution

The third proportional to 753,542 and 1,054,023 is: 1,474,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,542 : 1,054,023 = 1,054,023 : x
  2. Step 2: Convert to fraction form
    753,542/1,054,023 = 1,054,023/x
  3. Step 3: Cross multiply
    753,542x = 1,054,023 × 1,054,023
  4. Step 4: Simplify right side
    753,542x = 1,110,964,484,529
  5. Step 5: Solve for x
    x = 1,110,964,484,529/753,542
  6. Step 6: Final answer
    x = 1,474,323.24

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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.