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Finding the Third Proportional to 569,896 and 885,930

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Solution

The third proportional to 569,896 and 885,930 is: 1,377,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,896 : 885,930 = 885,930 : x
  2. Step 2: Convert to fraction form
    569,896/885,930 = 885,930/x
  3. Step 3: Cross multiply
    569,896x = 885,930 × 885,930
  4. Step 4: Simplify right side
    569,896x = 784,871,964,900
  5. Step 5: Solve for x
    x = 784,871,964,900/569,896
  6. Step 6: Final answer
    x = 1,377,219.64

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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.