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Finding the Third Proportional to 1,163,478 and 1,706,909

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Solution

The third proportional to 1,163,478 and 1,706,909 is: 2,504,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,478 : 1,706,909 = 1,706,909 : x
  2. Step 2: Convert to fraction form
    1,163,478/1,706,909 = 1,706,909/x
  3. Step 3: Cross multiply
    1,163,478x = 1,706,909 × 1,706,909
  4. Step 4: Simplify right side
    1,163,478x = 2,913,538,334,281
  5. Step 5: Solve for x
    x = 2,913,538,334,281/1,163,478
  6. Step 6: Final answer
    x = 2,504,162.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.