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Finding the Third Proportional to 569,904 and 885,944

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Solution

The third proportional to 569,904 and 885,944 is: 1,377,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,904 : 885,944 = 885,944 : x
  2. Step 2: Convert to fraction form
    569,904/885,944 = 885,944/x
  3. Step 3: Cross multiply
    569,904x = 885,944 × 885,944
  4. Step 4: Simplify right side
    569,904x = 784,896,771,136
  5. Step 5: Solve for x
    x = 784,896,771,136/569,904
  6. Step 6: Final answer
    x = 1,377,243.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.