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Finding the Third Proportional to 2,031,705 and 2,709,858

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Solution

The third proportional to 2,031,705 and 2,709,858 is: 3,614,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,705 : 2,709,858 = 2,709,858 : x
  2. Step 2: Convert to fraction form
    2,031,705/2,709,858 = 2,709,858/x
  3. Step 3: Cross multiply
    2,031,705x = 2,709,858 × 2,709,858
  4. Step 4: Simplify right side
    2,031,705x = 7,343,330,380,164
  5. Step 5: Solve for x
    x = 7,343,330,380,164/2,031,705
  6. Step 6: Final answer
    x = 3,614,368.41

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.