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Finding the Third Proportional to 474,741 and 1,024,386.75

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Solution

The third proportional to 474,741 and 1,024,386.75 is: 2,210,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,741 : 1,024,386.75 = 1,024,386.75 : x
  2. Step 2: Convert to fraction form
    474,741/1,024,386.75 = 1,024,386.75/x
  3. Step 3: Cross multiply
    474,741x = 1,024,386.75 × 1,024,386.75
  4. Step 4: Simplify right side
    474,741x = 1,049,368,213,575.56
  5. Step 5: Solve for x
    x = 1,049,368,213,575.56/474,741
  6. Step 6: Final answer
    x = 2,210,401.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.