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Finding the Third Proportional to 711,106 and 1,505,844

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Solution

The third proportional to 711,106 and 1,505,844 is: 3,188,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,106 : 1,505,844 = 1,505,844 : x
  2. Step 2: Convert to fraction form
    711,106/1,505,844 = 1,505,844/x
  3. Step 3: Cross multiply
    711,106x = 1,505,844 × 1,505,844
  4. Step 4: Simplify right side
    711,106x = 2,267,566,152,336
  5. Step 5: Solve for x
    x = 2,267,566,152,336/711,106
  6. Step 6: Final answer
    x = 3,188,787.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.