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Finding the Third Proportional to 734,810 and 1,040,043

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Solution

The third proportional to 734,810 and 1,040,043 is: 1,472,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,810 : 1,040,043 = 1,040,043 : x
  2. Step 2: Convert to fraction form
    734,810/1,040,043 = 1,040,043/x
  3. Step 3: Cross multiply
    734,810x = 1,040,043 × 1,040,043
  4. Step 4: Simplify right side
    734,810x = 1,081,689,441,849
  5. Step 5: Solve for x
    x = 1,081,689,441,849/734,810
  6. Step 6: Final answer
    x = 1,472,066.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.