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Finding the Third Proportional to 573,419 and 910,817

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Solution

The third proportional to 573,419 and 910,817 is: 1,446,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,419 : 910,817 = 910,817 : x
  2. Step 2: Convert to fraction form
    573,419/910,817 = 910,817/x
  3. Step 3: Cross multiply
    573,419x = 910,817 × 910,817
  4. Step 4: Simplify right side
    573,419x = 829,587,607,489
  5. Step 5: Solve for x
    x = 829,587,607,489/573,419
  6. Step 6: Final answer
    x = 1,446,738.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.