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Finding the Third Proportional to 655,854 and 965,022

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Solution

The third proportional to 655,854 and 965,022 is: 1,419,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,854 : 965,022 = 965,022 : x
  2. Step 2: Convert to fraction form
    655,854/965,022 = 965,022/x
  3. Step 3: Cross multiply
    655,854x = 965,022 × 965,022
  4. Step 4: Simplify right side
    655,854x = 931,267,460,484
  5. Step 5: Solve for x
    x = 931,267,460,484/655,854
  6. Step 6: Final answer
    x = 1,419,931.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.