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Finding the Third Proportional to 471,548 and 1,026,670

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Solution

The third proportional to 471,548 and 1,026,670 is: 2,235,300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,548 : 1,026,670 = 1,026,670 : x
  2. Step 2: Convert to fraction form
    471,548/1,026,670 = 1,026,670/x
  3. Step 3: Cross multiply
    471,548x = 1,026,670 × 1,026,670
  4. Step 4: Simplify right side
    471,548x = 1,054,051,288,900
  5. Step 5: Solve for x
    x = 1,054,051,288,900/471,548
  6. Step 6: Final answer
    x = 2,235,300.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.