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Finding the Third Proportional to 798,470 and 1,206,022

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Solution

The third proportional to 798,470 and 1,206,022 is: 1,821,595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,470 : 1,206,022 = 1,206,022 : x
  2. Step 2: Convert to fraction form
    798,470/1,206,022 = 1,206,022/x
  3. Step 3: Cross multiply
    798,470x = 1,206,022 × 1,206,022
  4. Step 4: Simplify right side
    798,470x = 1,454,489,064,484
  5. Step 5: Solve for x
    x = 1,454,489,064,484/798,470
  6. Step 6: Final answer
    x = 1,821,595.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.