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Finding the Third Proportional to 496,475 and 1,071,659

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Solution

The third proportional to 496,475 and 1,071,659 is: 2,313,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,475 : 1,071,659 = 1,071,659 : x
  2. Step 2: Convert to fraction form
    496,475/1,071,659 = 1,071,659/x
  3. Step 3: Cross multiply
    496,475x = 1,071,659 × 1,071,659
  4. Step 4: Simplify right side
    496,475x = 1,148,453,012,281
  5. Step 5: Solve for x
    x = 1,148,453,012,281/496,475
  6. Step 6: Final answer
    x = 2,313,214.18

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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.