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Finding the Third Proportional to 833,266 and 1,784,622

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Solution

The third proportional to 833,266 and 1,784,622 is: 3,822,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,266 : 1,784,622 = 1,784,622 : x
  2. Step 2: Convert to fraction form
    833,266/1,784,622 = 1,784,622/x
  3. Step 3: Cross multiply
    833,266x = 1,784,622 × 1,784,622
  4. Step 4: Simplify right side
    833,266x = 3,184,875,682,884
  5. Step 5: Solve for x
    x = 3,184,875,682,884/833,266
  6. Step 6: Final answer
    x = 3,822,159.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.