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Finding the Third Proportional to 1,309,984 and 2,864,368

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Solution

The third proportional to 1,309,984 and 2,864,368 is: 6,263,133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,984 : 2,864,368 = 2,864,368 : x
  2. Step 2: Convert to fraction form
    1,309,984/2,864,368 = 2,864,368/x
  3. Step 3: Cross multiply
    1,309,984x = 2,864,368 × 2,864,368
  4. Step 4: Simplify right side
    1,309,984x = 8,204,604,039,424
  5. Step 5: Solve for x
    x = 8,204,604,039,424/1,309,984
  6. Step 6: Final answer
    x = 6,263,133.01

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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.