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Finding the Third Proportional to 702,538 and 1,657,886

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Solution

The third proportional to 702,538 and 1,657,886 is: 3,912,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,538 : 1,657,886 = 1,657,886 : x
  2. Step 2: Convert to fraction form
    702,538/1,657,886 = 1,657,886/x
  3. Step 3: Cross multiply
    702,538x = 1,657,886 × 1,657,886
  4. Step 4: Simplify right side
    702,538x = 2,748,585,988,996
  5. Step 5: Solve for x
    x = 2,748,585,988,996/702,538
  6. Step 6: Final answer
    x = 3,912,366.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.