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Finding the Third Proportional to 757,546 and 1,657,614

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Solution

The third proportional to 757,546 and 1,657,614 is: 3,627,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,546 : 1,657,614 = 1,657,614 : x
  2. Step 2: Convert to fraction form
    757,546/1,657,614 = 1,657,614/x
  3. Step 3: Cross multiply
    757,546x = 1,657,614 × 1,657,614
  4. Step 4: Simplify right side
    757,546x = 2,747,684,172,996
  5. Step 5: Solve for x
    x = 2,747,684,172,996/757,546
  6. Step 6: Final answer
    x = 3,627,085.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.