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Finding the Third Proportional to 1,516,821 and 3,243,594

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Solution

The third proportional to 1,516,821 and 3,243,594 is: 6,936,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516,821 : 3,243,594 = 3,243,594 : x
  2. Step 2: Convert to fraction form
    1,516,821/3,243,594 = 3,243,594/x
  3. Step 3: Cross multiply
    1,516,821x = 3,243,594 × 3,243,594
  4. Step 4: Simplify right side
    1,516,821x = 10,520,902,036,836
  5. Step 5: Solve for x
    x = 10,520,902,036,836/1,516,821
  6. Step 6: Final answer
    x = 6,936,152.68

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