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Finding the Third Proportional to 748,146 and 1,614,390

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Solution

The third proportional to 748,146 and 1,614,390 is: 3,483,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,146 : 1,614,390 = 1,614,390 : x
  2. Step 2: Convert to fraction form
    748,146/1,614,390 = 1,614,390/x
  3. Step 3: Cross multiply
    748,146x = 1,614,390 × 1,614,390
  4. Step 4: Simplify right side
    748,146x = 2,606,255,072,100
  5. Step 5: Solve for x
    x = 2,606,255,072,100/748,146
  6. Step 6: Final answer
    x = 3,483,618.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.