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Finding the Third Proportional to 656,592 and 1,411,269

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Solution

The third proportional to 656,592 and 1,411,269 is: 3,033,360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,592 : 1,411,269 = 1,411,269 : x
  2. Step 2: Convert to fraction form
    656,592/1,411,269 = 1,411,269/x
  3. Step 3: Cross multiply
    656,592x = 1,411,269 × 1,411,269
  4. Step 4: Simplify right side
    656,592x = 1,991,680,190,361
  5. Step 5: Solve for x
    x = 1,991,680,190,361/656,592
  6. Step 6: Final answer
    x = 3,033,360.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.