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Finding the Third Proportional to 738,171,748 and 1,038,189,174

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Solution

The third proportional to 738,171,748 and 1,038,189,174 is: 1,460,143,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,171,748 : 1,038,189,174 = 1,038,189,174 : x
  2. Step 2: Convert to fraction form
    738,171,748/1,038,189,174 = 1,038,189,174/x
  3. Step 3: Cross multiply
    738,171,748x = 1,038,189,174 × 1,038,189,174
  4. Step 4: Simplify right side
    738,171,748x = 1,077,836,761,010,802,304
  5. Step 5: Solve for x
    x = 1,077,836,761,010,802,304/738,171,748
  6. Step 6: Final answer
    x = 1,460,143,610.12

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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.