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Finding the Third Proportional to 747,968 and 1,645,468

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Solution

The third proportional to 747,968 and 1,645,468 is: 3,619,894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,968 : 1,645,468 = 1,645,468 : x
  2. Step 2: Convert to fraction form
    747,968/1,645,468 = 1,645,468/x
  3. Step 3: Cross multiply
    747,968x = 1,645,468 × 1,645,468
  4. Step 4: Simplify right side
    747,968x = 2,707,564,939,024
  5. Step 5: Solve for x
    x = 2,707,564,939,024/747,968
  6. Step 6: Final answer
    x = 3,619,894.09

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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.