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Finding the Third Proportional to 826,119 and 1,223,829

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Solution

The third proportional to 826,119 and 1,223,829 is: 1,813,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,119 : 1,223,829 = 1,223,829 : x
  2. Step 2: Convert to fraction form
    826,119/1,223,829 = 1,223,829/x
  3. Step 3: Cross multiply
    826,119x = 1,223,829 × 1,223,829
  4. Step 4: Simplify right side
    826,119x = 1,497,757,421,241
  5. Step 5: Solve for x
    x = 1,497,757,421,241/826,119
  6. Step 6: Final answer
    x = 1,813,004.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.