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Finding the Third Proportional to 488,012 and 1,057,480

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Solution

The third proportional to 488,012 and 1,057,480 is: 2,291,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,012 : 1,057,480 = 1,057,480 : x
  2. Step 2: Convert to fraction form
    488,012/1,057,480 = 1,057,480/x
  3. Step 3: Cross multiply
    488,012x = 1,057,480 × 1,057,480
  4. Step 4: Simplify right side
    488,012x = 1,118,263,950,400
  5. Step 5: Solve for x
    x = 1,118,263,950,400/488,012
  6. Step 6: Final answer
    x = 2,291,468.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.