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Finding the Third Proportional to 898,642 and 1,923,644

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Solution

The third proportional to 898,642 and 1,923,644 is: 4,117,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,642 : 1,923,644 = 1,923,644 : x
  2. Step 2: Convert to fraction form
    898,642/1,923,644 = 1,923,644/x
  3. Step 3: Cross multiply
    898,642x = 1,923,644 × 1,923,644
  4. Step 4: Simplify right side
    898,642x = 3,700,406,238,736
  5. Step 5: Solve for x
    x = 3,700,406,238,736/898,642
  6. Step 6: Final answer
    x = 4,117,775.75

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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.