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Finding the Third Proportional to 696,816 and 1,507,680

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Solution

The third proportional to 696,816 and 1,507,680 is: 3,262,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,816 : 1,507,680 = 1,507,680 : x
  2. Step 2: Convert to fraction form
    696,816/1,507,680 = 1,507,680/x
  3. Step 3: Cross multiply
    696,816x = 1,507,680 × 1,507,680
  4. Step 4: Simplify right side
    696,816x = 2,273,098,982,400
  5. Step 5: Solve for x
    x = 2,273,098,982,400/696,816
  6. Step 6: Final answer
    x = 3,262,122.26

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Why These Related Problems?

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