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Finding the Third Proportional to 779,020 and 1,165,418

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Solution

The third proportional to 779,020 and 1,165,418 is: 1,743,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,020 : 1,165,418 = 1,165,418 : x
  2. Step 2: Convert to fraction form
    779,020/1,165,418 = 1,165,418/x
  3. Step 3: Cross multiply
    779,020x = 1,165,418 × 1,165,418
  4. Step 4: Simplify right side
    779,020x = 1,358,199,114,724
  5. Step 5: Solve for x
    x = 1,358,199,114,724/779,020
  6. Step 6: Final answer
    x = 1,743,471.43

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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.