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Finding the Third Proportional to 692,288 and 1,502,680

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Solution

The third proportional to 692,288 and 1,502,680 is: 3,261,716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,288 : 1,502,680 = 1,502,680 : x
  2. Step 2: Convert to fraction form
    692,288/1,502,680 = 1,502,680/x
  3. Step 3: Cross multiply
    692,288x = 1,502,680 × 1,502,680
  4. Step 4: Simplify right side
    692,288x = 2,258,047,182,400
  5. Step 5: Solve for x
    x = 2,258,047,182,400/692,288
  6. Step 6: Final answer
    x = 3,261,716.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.