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Finding the Third Proportional to 642,975 and 1,374,527

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Solution

The third proportional to 642,975 and 1,374,527 is: 2,938,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,975 : 1,374,527 = 1,374,527 : x
  2. Step 2: Convert to fraction form
    642,975/1,374,527 = 1,374,527/x
  3. Step 3: Cross multiply
    642,975x = 1,374,527 × 1,374,527
  4. Step 4: Simplify right side
    642,975x = 1,889,324,473,729
  5. Step 5: Solve for x
    x = 1,889,324,473,729/642,975
  6. Step 6: Final answer
    x = 2,938,410.47

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Why These Related Problems?

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