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Finding the Third Proportional to 1,649,712 and 2,473,800

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Solution

The third proportional to 1,649,712 and 2,473,800 is: 3,709,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,712 : 2,473,800 = 2,473,800 : x
  2. Step 2: Convert to fraction form
    1,649,712/2,473,800 = 2,473,800/x
  3. Step 3: Cross multiply
    1,649,712x = 2,473,800 × 2,473,800
  4. Step 4: Simplify right side
    1,649,712x = 6,119,686,440,000
  5. Step 5: Solve for x
    x = 6,119,686,440,000/1,649,712
  6. Step 6: Final answer
    x = 3,709,548.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.