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Finding the Third Proportional to 741,506 and 1,618,928

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Solution

The third proportional to 741,506 and 1,618,928 is: 3,534,601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,506 : 1,618,928 = 1,618,928 : x
  2. Step 2: Convert to fraction form
    741,506/1,618,928 = 1,618,928/x
  3. Step 3: Cross multiply
    741,506x = 1,618,928 × 1,618,928
  4. Step 4: Simplify right side
    741,506x = 2,620,927,869,184
  5. Step 5: Solve for x
    x = 2,620,927,869,184/741,506
  6. Step 6: Final answer
    x = 3,534,601.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.