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Finding the Third Proportional to 590,654 and 885,789

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Solution

The third proportional to 590,654 and 885,789 is: 1,328,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,654 : 885,789 = 885,789 : x
  2. Step 2: Convert to fraction form
    590,654/885,789 = 885,789/x
  3. Step 3: Cross multiply
    590,654x = 885,789 × 885,789
  4. Step 4: Simplify right side
    590,654x = 784,622,152,521
  5. Step 5: Solve for x
    x = 784,622,152,521/590,654
  6. Step 6: Final answer
    x = 1,328,395.56

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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.