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Finding the Third Proportional to 643,346 and 1,359,268

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Solution

The third proportional to 643,346 and 1,359,268 is: 2,871,875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,346 : 1,359,268 = 1,359,268 : x
  2. Step 2: Convert to fraction form
    643,346/1,359,268 = 1,359,268/x
  3. Step 3: Cross multiply
    643,346x = 1,359,268 × 1,359,268
  4. Step 4: Simplify right side
    643,346x = 1,847,609,495,824
  5. Step 5: Solve for x
    x = 1,847,609,495,824/643,346
  6. Step 6: Final answer
    x = 2,871,875.31

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.