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Finding the Third Proportional to 918,112 and 1,418,154

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Solution

The third proportional to 918,112 and 1,418,154 is: 2,190,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,112 : 1,418,154 = 1,418,154 : x
  2. Step 2: Convert to fraction form
    918,112/1,418,154 = 1,418,154/x
  3. Step 3: Cross multiply
    918,112x = 1,418,154 × 1,418,154
  4. Step 4: Simplify right side
    918,112x = 2,011,160,767,716
  5. Step 5: Solve for x
    x = 2,011,160,767,716/918,112
  6. Step 6: Final answer
    x = 2,190,539.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.