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Finding the Third Proportional to 698,210 and 1,503,304

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Solution

The third proportional to 698,210 and 1,503,304 is: 3,236,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,210 : 1,503,304 = 1,503,304 : x
  2. Step 2: Convert to fraction form
    698,210/1,503,304 = 1,503,304/x
  3. Step 3: Cross multiply
    698,210x = 1,503,304 × 1,503,304
  4. Step 4: Simplify right side
    698,210x = 2,259,922,916,416
  5. Step 5: Solve for x
    x = 2,259,922,916,416/698,210
  6. Step 6: Final answer
    x = 3,236,738.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.