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Finding the Third Proportional to 862,406 and 1,875,816

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Solution

The third proportional to 862,406 and 1,875,816 is: 4,080,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,406 : 1,875,816 = 1,875,816 : x
  2. Step 2: Convert to fraction form
    862,406/1,875,816 = 1,875,816/x
  3. Step 3: Cross multiply
    862,406x = 1,875,816 × 1,875,816
  4. Step 4: Simplify right side
    862,406x = 3,518,685,665,856
  5. Step 5: Solve for x
    x = 3,518,685,665,856/862,406
  6. Step 6: Final answer
    x = 4,080,080.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.