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Finding the Third Proportional to 859,803 and 1,822,017

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Solution

The third proportional to 859,803 and 1,822,017 is: 3,861,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,803 : 1,822,017 = 1,822,017 : x
  2. Step 2: Convert to fraction form
    859,803/1,822,017 = 1,822,017/x
  3. Step 3: Cross multiply
    859,803x = 1,822,017 × 1,822,017
  4. Step 4: Simplify right side
    859,803x = 3,319,745,948,289
  5. Step 5: Solve for x
    x = 3,319,745,948,289/859,803
  6. Step 6: Final answer
    x = 3,861,054.16

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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.