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Finding the Third Proportional to 414,482 and 887,770

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Solution

The third proportional to 414,482 and 887,770 is: 1,901,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,482 : 887,770 = 887,770 : x
  2. Step 2: Convert to fraction form
    414,482/887,770 = 887,770/x
  3. Step 3: Cross multiply
    414,482x = 887,770 × 887,770
  4. Step 4: Simplify right side
    414,482x = 788,135,572,900
  5. Step 5: Solve for x
    x = 788,135,572,900/414,482
  6. Step 6: Final answer
    x = 1,901,495.30

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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.