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Finding the Third Proportional to 696,880 and 1,526,548

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Solution

The third proportional to 696,880 and 1,526,548 is: 3,343,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,880 : 1,526,548 = 1,526,548 : x
  2. Step 2: Convert to fraction form
    696,880/1,526,548 = 1,526,548/x
  3. Step 3: Cross multiply
    696,880x = 1,526,548 × 1,526,548
  4. Step 4: Simplify right side
    696,880x = 2,330,348,796,304
  5. Step 5: Solve for x
    x = 2,330,348,796,304/696,880
  6. Step 6: Final answer
    x = 3,343,974.28

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Why These Related Problems?

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