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Finding the Third Proportional to 1,465,836 and 2,242,347

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Solution

The third proportional to 1,465,836 and 2,242,347 is: 3,430,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,836 : 2,242,347 = 2,242,347 : x
  2. Step 2: Convert to fraction form
    1,465,836/2,242,347 = 2,242,347/x
  3. Step 3: Cross multiply
    1,465,836x = 2,242,347 × 2,242,347
  4. Step 4: Simplify right side
    1,465,836x = 5,028,120,068,409
  5. Step 5: Solve for x
    x = 5,028,120,068,409/1,465,836
  6. Step 6: Final answer
    x = 3,430,206.43

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.