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Finding the Third Proportional to 747,964 and 1,645,460

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Solution

The third proportional to 747,964 and 1,645,460 is: 3,619,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,964 : 1,645,460 = 1,645,460 : x
  2. Step 2: Convert to fraction form
    747,964/1,645,460 = 1,645,460/x
  3. Step 3: Cross multiply
    747,964x = 1,645,460 × 1,645,460
  4. Step 4: Simplify right side
    747,964x = 2,707,538,611,600
  5. Step 5: Solve for x
    x = 2,707,538,611,600/747,964
  6. Step 6: Final answer
    x = 3,619,878.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.