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Finding the Third Proportional to 386,410 and 825,998

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Solution

The third proportional to 386,410 and 825,998 is: 1,765,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,410 : 825,998 = 825,998 : x
  2. Step 2: Convert to fraction form
    386,410/825,998 = 825,998/x
  3. Step 3: Cross multiply
    386,410x = 825,998 × 825,998
  4. Step 4: Simplify right side
    386,410x = 682,272,696,004
  5. Step 5: Solve for x
    x = 682,272,696,004/386,410
  6. Step 6: Final answer
    x = 1,765,670.39

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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.