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Finding the Third Proportional to 697,160 and 1,511,548

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Solution

The third proportional to 697,160 and 1,511,548 is: 3,277,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,160 : 1,511,548 = 1,511,548 : x
  2. Step 2: Convert to fraction form
    697,160/1,511,548 = 1,511,548/x
  3. Step 3: Cross multiply
    697,160x = 1,511,548 × 1,511,548
  4. Step 4: Simplify right side
    697,160x = 2,284,777,356,304
  5. Step 5: Solve for x
    x = 2,284,777,356,304/697,160
  6. Step 6: Final answer
    x = 3,277,263.98

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Why These Related Problems?

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