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Finding the Third Proportional to 687,883 and 1,424,365

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Solution

The third proportional to 687,883 and 1,424,365 is: 2,949,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,883 : 1,424,365 = 1,424,365 : x
  2. Step 2: Convert to fraction form
    687,883/1,424,365 = 1,424,365/x
  3. Step 3: Cross multiply
    687,883x = 1,424,365 × 1,424,365
  4. Step 4: Simplify right side
    687,883x = 2,028,815,653,225
  5. Step 5: Solve for x
    x = 2,028,815,653,225/687,883
  6. Step 6: Final answer
    x = 2,949,361.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.