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Finding the Third Proportional to 738,171,752 and 1,038,189,180

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Solution

The third proportional to 738,171,752 and 1,038,189,180 is: 1,460,143,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,171,752 : 1,038,189,180 = 1,038,189,180 : x
  2. Step 2: Convert to fraction form
    738,171,752/1,038,189,180 = 1,038,189,180/x
  3. Step 3: Cross multiply
    738,171,752x = 1,038,189,180 × 1,038,189,180
  4. Step 4: Simplify right side
    738,171,752x = 1,077,836,773,469,072,384
  5. Step 5: Solve for x
    x = 1,077,836,773,469,072,384/738,171,752
  6. Step 6: Final answer
    x = 1,460,143,619.08

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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.