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Finding the Third Proportional to 898,644 and 1,923,648

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Solution

The third proportional to 898,644 and 1,923,648 is: 4,117,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,644 : 1,923,648 = 1,923,648 : x
  2. Step 2: Convert to fraction form
    898,644/1,923,648 = 1,923,648/x
  3. Step 3: Cross multiply
    898,644x = 1,923,648 × 1,923,648
  4. Step 4: Simplify right side
    898,644x = 3,700,421,627,904
  5. Step 5: Solve for x
    x = 3,700,421,627,904/898,644
  6. Step 6: Final answer
    x = 4,117,783.71

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