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Finding the Third Proportional to 424,926 and 913,005

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Solution

The third proportional to 424,926 and 913,005 is: 1,961,701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,926 : 913,005 = 913,005 : x
  2. Step 2: Convert to fraction form
    424,926/913,005 = 913,005/x
  3. Step 3: Cross multiply
    424,926x = 913,005 × 913,005
  4. Step 4: Simplify right side
    424,926x = 833,578,130,025
  5. Step 5: Solve for x
    x = 833,578,130,025/424,926
  6. Step 6: Final answer
    x = 1,961,701.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.