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Finding the Third Proportional to 1,157,768 and 2,468,464

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Solution

The third proportional to 1,157,768 and 2,468,464 is: 5,262,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,768 : 2,468,464 = 2,468,464 : x
  2. Step 2: Convert to fraction form
    1,157,768/2,468,464 = 2,468,464/x
  3. Step 3: Cross multiply
    1,157,768x = 2,468,464 × 2,468,464
  4. Step 4: Simplify right side
    1,157,768x = 6,093,314,519,296
  5. Step 5: Solve for x
    x = 6,093,314,519,296/1,157,768
  6. Step 6: Final answer
    x = 5,262,984.05

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.