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Finding the Third Proportional to 2,329,899 and 4,983,714

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Solution

The third proportional to 2,329,899 and 4,983,714 is: 10,660,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329,899 : 4,983,714 = 4,983,714 : x
  2. Step 2: Convert to fraction form
    2,329,899/4,983,714 = 4,983,714/x
  3. Step 3: Cross multiply
    2,329,899x = 4,983,714 × 4,983,714
  4. Step 4: Simplify right side
    2,329,899x = 24,837,405,233,796
  5. Step 5: Solve for x
    x = 24,837,405,233,796/2,329,899
  6. Step 6: Final answer
    x = 10,660,292.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.