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Finding the Third Proportional to 953,570 and 2,020,864

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Solution

The third proportional to 953,570 and 2,020,864 is: 4,282,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,570 : 2,020,864 = 2,020,864 : x
  2. Step 2: Convert to fraction form
    953,570/2,020,864 = 2,020,864/x
  3. Step 3: Cross multiply
    953,570x = 2,020,864 × 2,020,864
  4. Step 4: Simplify right side
    953,570x = 4,083,891,306,496
  5. Step 5: Solve for x
    x = 4,083,891,306,496/953,570
  6. Step 6: Final answer
    x = 4,282,738.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.