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Finding the Third Proportional to 556,983 and 836,699

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Solution

The third proportional to 556,983 and 836,699 is: 1,256,887.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,983 : 836,699 = 836,699 : x
  2. Step 2: Convert to fraction form
    556,983/836,699 = 836,699/x
  3. Step 3: Cross multiply
    556,983x = 836,699 × 836,699
  4. Step 4: Simplify right side
    556,983x = 700,065,216,601
  5. Step 5: Solve for x
    x = 700,065,216,601/556,983
  6. Step 6: Final answer
    x = 1,256,887.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.