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Finding the Third Proportional to 590,519 and 916,127

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Solution

The third proportional to 590,519 and 916,127 is: 1,421,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,519 : 916,127 = 916,127 : x
  2. Step 2: Convert to fraction form
    590,519/916,127 = 916,127/x
  3. Step 3: Cross multiply
    590,519x = 916,127 × 916,127
  4. Step 4: Simplify right side
    590,519x = 839,288,680,129
  5. Step 5: Solve for x
    x = 839,288,680,129/590,519
  6. Step 6: Final answer
    x = 1,421,272.95

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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.