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Finding the Third Proportional to 590,654 and 908,985

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Solution

The third proportional to 590,654 and 908,985 is: 1,398,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,654 : 908,985 = 908,985 : x
  2. Step 2: Convert to fraction form
    590,654/908,985 = 908,985/x
  3. Step 3: Cross multiply
    590,654x = 908,985 × 908,985
  4. Step 4: Simplify right side
    590,654x = 826,253,730,225
  5. Step 5: Solve for x
    x = 826,253,730,225/590,654
  6. Step 6: Final answer
    x = 1,398,879.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.