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Finding the Third Proportional to 779,205 and 1,165,701

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Solution

The third proportional to 779,205 and 1,165,701 is: 1,743,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,205 : 1,165,701 = 1,165,701 : x
  2. Step 2: Convert to fraction form
    779,205/1,165,701 = 1,165,701/x
  3. Step 3: Cross multiply
    779,205x = 1,165,701 × 1,165,701
  4. Step 4: Simplify right side
    779,205x = 1,358,858,821,401
  5. Step 5: Solve for x
    x = 1,358,858,821,401/779,205
  6. Step 6: Final answer
    x = 1,743,904.13

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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.