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Finding the Third Proportional to 470,994.75 and 1,031,778

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Solution

The third proportional to 470,994.75 and 1,031,778 is: 2,260,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,994.75 : 1,031,778 = 1,031,778 : x
  2. Step 2: Convert to fraction form
    470,994.75/1,031,778 = 1,031,778/x
  3. Step 3: Cross multiply
    470,994.75x = 1,031,778 × 1,031,778
  4. Step 4: Simplify right side
    470,994.75x = 1,064,565,841,284
  5. Step 5: Solve for x
    x = 1,064,565,841,284/470,994.75
  6. Step 6: Final answer
    x = 2,260,249.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.