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Finding the Third Proportional to 468,022 and 912,716

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Solution

The third proportional to 468,022 and 912,716 is: 1,779,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,022 : 912,716 = 912,716 : x
  2. Step 2: Convert to fraction form
    468,022/912,716 = 912,716/x
  3. Step 3: Cross multiply
    468,022x = 912,716 × 912,716
  4. Step 4: Simplify right side
    468,022x = 833,050,496,656
  5. Step 5: Solve for x
    x = 833,050,496,656/468,022
  6. Step 6: Final answer
    x = 1,779,938.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.