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Finding the Third Proportional to 1,894,873 and 2,912,595

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Solution

The third proportional to 1,894,873 and 2,912,595 is: 4,476,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894,873 : 2,912,595 = 2,912,595 : x
  2. Step 2: Convert to fraction form
    1,894,873/2,912,595 = 2,912,595/x
  3. Step 3: Cross multiply
    1,894,873x = 2,912,595 × 2,912,595
  4. Step 4: Simplify right side
    1,894,873x = 8,483,209,634,025
  5. Step 5: Solve for x
    x = 8,483,209,634,025/1,894,873
  6. Step 6: Final answer
    x = 4,476,927.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.