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Finding the Third Proportional to 490,402 and 1,034,048

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Solution

The third proportional to 490,402 and 1,034,048 is: 2,180,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,402 : 1,034,048 = 1,034,048 : x
  2. Step 2: Convert to fraction form
    490,402/1,034,048 = 1,034,048/x
  3. Step 3: Cross multiply
    490,402x = 1,034,048 × 1,034,048
  4. Step 4: Simplify right side
    490,402x = 1,069,255,266,304
  5. Step 5: Solve for x
    x = 1,069,255,266,304/490,402
  6. Step 6: Final answer
    x = 2,180,364.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.