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Finding the Third Proportional to 1,523,700 and 3,173,512

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Solution

The third proportional to 1,523,700 and 3,173,512 is: 6,609,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,700 : 3,173,512 = 3,173,512 : x
  2. Step 2: Convert to fraction form
    1,523,700/3,173,512 = 3,173,512/x
  3. Step 3: Cross multiply
    1,523,700x = 3,173,512 × 3,173,512
  4. Step 4: Simplify right side
    1,523,700x = 10,071,178,414,144
  5. Step 5: Solve for x
    x = 10,071,178,414,144/1,523,700
  6. Step 6: Final answer
    x = 6,609,685.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.