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Finding the Third Proportional to 699,712 and 1,449,210

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Solution

The third proportional to 699,712 and 1,449,210 is: 3,001,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,712 : 1,449,210 = 1,449,210 : x
  2. Step 2: Convert to fraction form
    699,712/1,449,210 = 1,449,210/x
  3. Step 3: Cross multiply
    699,712x = 1,449,210 × 1,449,210
  4. Step 4: Simplify right side
    699,712x = 2,100,209,624,100
  5. Step 5: Solve for x
    x = 2,100,209,624,100/699,712
  6. Step 6: Final answer
    x = 3,001,534.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.