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Finding the Third Proportional to 478,768 and 1,036,784

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Solution

The third proportional to 478,768 and 1,036,784 is: 2,245,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,768 : 1,036,784 = 1,036,784 : x
  2. Step 2: Convert to fraction form
    478,768/1,036,784 = 1,036,784/x
  3. Step 3: Cross multiply
    478,768x = 1,036,784 × 1,036,784
  4. Step 4: Simplify right side
    478,768x = 1,074,921,062,656
  5. Step 5: Solve for x
    x = 1,074,921,062,656/478,768
  6. Step 6: Final answer
    x = 2,245,181.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.