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Finding the Third Proportional to 1,147,565 and 2,378,047

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Solution

The third proportional to 1,147,565 and 2,378,047 is: 4,927,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,565 : 2,378,047 = 2,378,047 : x
  2. Step 2: Convert to fraction form
    1,147,565/2,378,047 = 2,378,047/x
  3. Step 3: Cross multiply
    1,147,565x = 2,378,047 × 2,378,047
  4. Step 4: Simplify right side
    1,147,565x = 5,655,107,534,209
  5. Step 5: Solve for x
    x = 5,655,107,534,209/1,147,565
  6. Step 6: Final answer
    x = 4,927,919.15

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.