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Finding the Third Proportional to 1,577,823 and 3,407,970

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Solution

The third proportional to 1,577,823 and 3,407,970 is: 7,360,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,823 : 3,407,970 = 3,407,970 : x
  2. Step 2: Convert to fraction form
    1,577,823/3,407,970 = 3,407,970/x
  3. Step 3: Cross multiply
    1,577,823x = 3,407,970 × 3,407,970
  4. Step 4: Simplify right side
    1,577,823x = 11,614,259,520,900
  5. Step 5: Solve for x
    x = 11,614,259,520,900/1,577,823
  6. Step 6: Final answer
    x = 7,360,939.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.