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Finding the Third Proportional to 798,590 and 1,206,203

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Solution

The third proportional to 798,590 and 1,206,203 is: 1,821,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,590 : 1,206,203 = 1,206,203 : x
  2. Step 2: Convert to fraction form
    798,590/1,206,203 = 1,206,203/x
  3. Step 3: Cross multiply
    798,590x = 1,206,203 × 1,206,203
  4. Step 4: Simplify right side
    798,590x = 1,454,925,677,209
  5. Step 5: Solve for x
    x = 1,454,925,677,209/798,590
  6. Step 6: Final answer
    x = 1,821,868.14

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