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Finding the Third Proportional to 559,104 and 885,696

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Solution

The third proportional to 559,104 and 885,696 is: 1,403,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,104 : 885,696 = 885,696 : x
  2. Step 2: Convert to fraction form
    559,104/885,696 = 885,696/x
  3. Step 3: Cross multiply
    559,104x = 885,696 × 885,696
  4. Step 4: Simplify right side
    559,104x = 784,457,404,416
  5. Step 5: Solve for x
    x = 784,457,404,416/559,104
  6. Step 6: Final answer
    x = 1,403,061.69

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.