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Finding the Third Proportional to 490,476 and 1,047,480

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Solution

The third proportional to 490,476 and 1,047,480 is: 2,237,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,476 : 1,047,480 = 1,047,480 : x
  2. Step 2: Convert to fraction form
    490,476/1,047,480 = 1,047,480/x
  3. Step 3: Cross multiply
    490,476x = 1,047,480 × 1,047,480
  4. Step 4: Simplify right side
    490,476x = 1,097,214,350,400
  5. Step 5: Solve for x
    x = 1,097,214,350,400/490,476
  6. Step 6: Final answer
    x = 2,237,039.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.