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Finding the Third Proportional to 480,351 and 1,034,928

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Solution

The third proportional to 480,351 and 1,034,928 is: 2,229,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,351 : 1,034,928 = 1,034,928 : x
  2. Step 2: Convert to fraction form
    480,351/1,034,928 = 1,034,928/x
  3. Step 3: Cross multiply
    480,351x = 1,034,928 × 1,034,928
  4. Step 4: Simplify right side
    480,351x = 1,071,075,965,184
  5. Step 5: Solve for x
    x = 1,071,075,965,184/480,351
  6. Step 6: Final answer
    x = 2,229,777.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.