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Finding the Third Proportional to 594,787 and 906,143

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Solution

The third proportional to 594,787 and 906,143 is: 1,380,486.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,787 : 906,143 = 906,143 : x
  2. Step 2: Convert to fraction form
    594,787/906,143 = 906,143/x
  3. Step 3: Cross multiply
    594,787x = 906,143 × 906,143
  4. Step 4: Simplify right side
    594,787x = 821,095,136,449
  5. Step 5: Solve for x
    x = 821,095,136,449/594,787
  6. Step 6: Final answer
    x = 1,380,486.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.