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Finding the Third Proportional to 1,306,098 and 1,966,842

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Solution

The third proportional to 1,306,098 and 1,966,842 is: 2,961,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,098 : 1,966,842 = 1,966,842 : x
  2. Step 2: Convert to fraction form
    1,306,098/1,966,842 = 1,966,842/x
  3. Step 3: Cross multiply
    1,306,098x = 1,966,842 × 1,966,842
  4. Step 4: Simplify right side
    1,306,098x = 3,868,467,452,964
  5. Step 5: Solve for x
    x = 3,868,467,452,964/1,306,098
  6. Step 6: Final answer
    x = 2,961,850.84

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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.