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Finding the Third Proportional to 590,523 and 916,134

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Solution

The third proportional to 590,523 and 916,134 is: 1,421,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,523 : 916,134 = 916,134 : x
  2. Step 2: Convert to fraction form
    590,523/916,134 = 916,134/x
  3. Step 3: Cross multiply
    590,523x = 916,134 × 916,134
  4. Step 4: Simplify right side
    590,523x = 839,301,505,956
  5. Step 5: Solve for x
    x = 839,301,505,956/590,523
  6. Step 6: Final answer
    x = 1,421,285.04

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Why These Related Problems?

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