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Finding the Third Proportional to 2,081,031 and 4,559,732

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Solution

The third proportional to 2,081,031 and 4,559,732 is: 9,990,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,031 : 4,559,732 = 4,559,732 : x
  2. Step 2: Convert to fraction form
    2,081,031/4,559,732 = 4,559,732/x
  3. Step 3: Cross multiply
    2,081,031x = 4,559,732 × 4,559,732
  4. Step 4: Simplify right side
    2,081,031x = 20,791,155,911,824
  5. Step 5: Solve for x
    x = 20,791,155,911,824/2,081,031
  6. Step 6: Final answer
    x = 9,990,795.87

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