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Finding the Third Proportional to 471,556 and 964,900

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Solution

The third proportional to 471,556 and 964,900 is: 1,974,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,556 : 964,900 = 964,900 : x
  2. Step 2: Convert to fraction form
    471,556/964,900 = 964,900/x
  3. Step 3: Cross multiply
    471,556x = 964,900 × 964,900
  4. Step 4: Simplify right side
    471,556x = 931,032,010,000
  5. Step 5: Solve for x
    x = 931,032,010,000/471,556
  6. Step 6: Final answer
    x = 1,974,382.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.