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Finding the Third Proportional to 1,242,864 and 1,964,943

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Solution

The third proportional to 1,242,864 and 1,964,943 is: 3,106,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,864 : 1,964,943 = 1,964,943 : x
  2. Step 2: Convert to fraction form
    1,242,864/1,964,943 = 1,964,943/x
  3. Step 3: Cross multiply
    1,242,864x = 1,964,943 × 1,964,943
  4. Step 4: Simplify right side
    1,242,864x = 3,861,000,993,249
  5. Step 5: Solve for x
    x = 3,861,000,993,249/1,242,864
  6. Step 6: Final answer
    x = 3,106,535.38

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.