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Finding the Third Proportional to 797,854 and 1,165,920

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Solution

The third proportional to 797,854 and 1,165,920 is: 1,703,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,854 : 1,165,920 = 1,165,920 : x
  2. Step 2: Convert to fraction form
    797,854/1,165,920 = 1,165,920/x
  3. Step 3: Cross multiply
    797,854x = 1,165,920 × 1,165,920
  4. Step 4: Simplify right side
    797,854x = 1,359,369,446,400
  5. Step 5: Solve for x
    x = 1,359,369,446,400/797,854
  6. Step 6: Final answer
    x = 1,703,782.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.