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Finding the Third Proportional to 420,754 and 912,843

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Solution

The third proportional to 420,754 and 912,843 is: 1,980,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,754 : 912,843 = 912,843 : x
  2. Step 2: Convert to fraction form
    420,754/912,843 = 912,843/x
  3. Step 3: Cross multiply
    420,754x = 912,843 × 912,843
  4. Step 4: Simplify right side
    420,754x = 833,282,342,649
  5. Step 5: Solve for x
    x = 833,282,342,649/420,754
  6. Step 6: Final answer
    x = 1,980,450.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.