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Finding the Third Proportional to 1,384,704 and 2,909,364

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Solution

The third proportional to 1,384,704 and 2,909,364 is: 6,112,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,704 : 2,909,364 = 2,909,364 : x
  2. Step 2: Convert to fraction form
    1,384,704/2,909,364 = 2,909,364/x
  3. Step 3: Cross multiply
    1,384,704x = 2,909,364 × 2,909,364
  4. Step 4: Simplify right side
    1,384,704x = 8,464,398,884,496
  5. Step 5: Solve for x
    x = 8,464,398,884,496/1,384,704
  6. Step 6: Final answer
    x = 6,112,785.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.