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Finding the Third Proportional to 500,655 and 1,036,798

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Solution

The third proportional to 500,655 and 1,036,798 is: 2,147,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,655 : 1,036,798 = 1,036,798 : x
  2. Step 2: Convert to fraction form
    500,655/1,036,798 = 1,036,798/x
  3. Step 3: Cross multiply
    500,655x = 1,036,798 × 1,036,798
  4. Step 4: Simplify right side
    500,655x = 1,074,950,092,804
  5. Step 5: Solve for x
    x = 1,074,950,092,804/500,655
  6. Step 6: Final answer
    x = 2,147,087.50

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.