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Finding the Third Proportional to 634,202 and 982,209

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Solution

The third proportional to 634,202 and 982,209 is: 1,521,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,202 : 982,209 = 982,209 : x
  2. Step 2: Convert to fraction form
    634,202/982,209 = 982,209/x
  3. Step 3: Cross multiply
    634,202x = 982,209 × 982,209
  4. Step 4: Simplify right side
    634,202x = 964,734,519,681
  5. Step 5: Solve for x
    x = 964,734,519,681/634,202
  6. Step 6: Final answer
    x = 1,521,178.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.