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Finding the Third Proportional to 656,589 and 1,411,263

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Solution

The third proportional to 656,589 and 1,411,263 is: 3,033,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,589 : 1,411,263 = 1,411,263 : x
  2. Step 2: Convert to fraction form
    656,589/1,411,263 = 1,411,263/x
  3. Step 3: Cross multiply
    656,589x = 1,411,263 × 1,411,263
  4. Step 4: Simplify right side
    656,589x = 1,991,663,255,169
  5. Step 5: Solve for x
    x = 1,991,663,255,169/656,589
  6. Step 6: Final answer
    x = 3,033,348.50

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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.