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Finding the Third Proportional to 918,612 and 1,970,112

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Solution

The third proportional to 918,612 and 1,970,112 is: 4,225,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,612 : 1,970,112 = 1,970,112 : x
  2. Step 2: Convert to fraction form
    918,612/1,970,112 = 1,970,112/x
  3. Step 3: Cross multiply
    918,612x = 1,970,112 × 1,970,112
  4. Step 4: Simplify right side
    918,612x = 3,881,341,292,544
  5. Step 5: Solve for x
    x = 3,881,341,292,544/918,612
  6. Step 6: Final answer
    x = 4,225,223.81

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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.