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Finding the Third Proportional to 738,171,750 and 1,038,189,177

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Solution

The third proportional to 738,171,750 and 1,038,189,177 is: 1,460,143,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,171,750 : 1,038,189,177 = 1,038,189,177 : x
  2. Step 2: Convert to fraction form
    738,171,750/1,038,189,177 = 1,038,189,177/x
  3. Step 3: Cross multiply
    738,171,750x = 1,038,189,177 × 1,038,189,177
  4. Step 4: Simplify right side
    738,171,750x = 1,077,836,767,239,937,280
  5. Step 5: Solve for x
    x = 1,077,836,767,239,937,280/738,171,750
  6. Step 6: Final answer
    x = 1,460,143,614.60

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.