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Finding the Third Proportional to 922,074 and 1,889,670

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Solution

The third proportional to 922,074 and 1,889,670 is: 3,872,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,074 : 1,889,670 = 1,889,670 : x
  2. Step 2: Convert to fraction form
    922,074/1,889,670 = 1,889,670/x
  3. Step 3: Cross multiply
    922,074x = 1,889,670 × 1,889,670
  4. Step 4: Simplify right side
    922,074x = 3,570,852,708,900
  5. Step 5: Solve for x
    x = 3,570,852,708,900/922,074
  6. Step 6: Final answer
    x = 3,872,631.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.