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Finding the Third Proportional to 739,461 and 1,513,968

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Solution

The third proportional to 739,461 and 1,513,968 is: 3,099,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,461 : 1,513,968 = 1,513,968 : x
  2. Step 2: Convert to fraction form
    739,461/1,513,968 = 1,513,968/x
  3. Step 3: Cross multiply
    739,461x = 1,513,968 × 1,513,968
  4. Step 4: Simplify right side
    739,461x = 2,292,099,105,024
  5. Step 5: Solve for x
    x = 2,292,099,105,024/739,461
  6. Step 6: Final answer
    x = 3,099,688.97

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.