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Finding the Third Proportional to 734,802 and 1,124,019

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Solution

The third proportional to 734,802 and 1,124,019 is: 1,719,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,802 : 1,124,019 = 1,124,019 : x
  2. Step 2: Convert to fraction form
    734,802/1,124,019 = 1,124,019/x
  3. Step 3: Cross multiply
    734,802x = 1,124,019 × 1,124,019
  4. Step 4: Simplify right side
    734,802x = 1,263,418,712,361
  5. Step 5: Solve for x
    x = 1,263,418,712,361/734,802
  6. Step 6: Final answer
    x = 1,719,400.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.