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Finding the Third Proportional to 610,786 and 913,371

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Solution

The third proportional to 610,786 and 913,371 is: 1,365,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,786 : 913,371 = 913,371 : x
  2. Step 2: Convert to fraction form
    610,786/913,371 = 913,371/x
  3. Step 3: Cross multiply
    610,786x = 913,371 × 913,371
  4. Step 4: Simplify right side
    610,786x = 834,246,583,641
  5. Step 5: Solve for x
    x = 834,246,583,641/610,786
  6. Step 6: Final answer
    x = 1,365,857.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.