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Finding the Third Proportional to 642,969 and 1,374,516

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Solution

The third proportional to 642,969 and 1,374,516 is: 2,938,390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,969 : 1,374,516 = 1,374,516 : x
  2. Step 2: Convert to fraction form
    642,969/1,374,516 = 1,374,516/x
  3. Step 3: Cross multiply
    642,969x = 1,374,516 × 1,374,516
  4. Step 4: Simplify right side
    642,969x = 1,889,294,234,256
  5. Step 5: Solve for x
    x = 1,889,294,234,256/642,969
  6. Step 6: Final answer
    x = 2,938,390.86

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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.