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Finding the Third Proportional to 643,056 and 1,374,684

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Solution

The third proportional to 643,056 and 1,374,684 is: 2,938,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,056 : 1,374,684 = 1,374,684 : x
  2. Step 2: Convert to fraction form
    643,056/1,374,684 = 1,374,684/x
  3. Step 3: Cross multiply
    643,056x = 1,374,684 × 1,374,684
  4. Step 4: Simplify right side
    643,056x = 1,889,756,099,856
  5. Step 5: Solve for x
    x = 1,889,756,099,856/643,056
  6. Step 6: Final answer
    x = 2,938,711.56

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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.