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Finding the Third Proportional to 526,454 and 847,821

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Solution

The third proportional to 526,454 and 847,821 is: 1,365,362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,454 : 847,821 = 847,821 : x
  2. Step 2: Convert to fraction form
    526,454/847,821 = 847,821/x
  3. Step 3: Cross multiply
    526,454x = 847,821 × 847,821
  4. Step 4: Simplify right side
    526,454x = 718,800,448,041
  5. Step 5: Solve for x
    x = 718,800,448,041/526,454
  6. Step 6: Final answer
    x = 1,365,362.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.