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Finding the Third Proportional to 707,072 and 1,527,100

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Solution

The third proportional to 707,072 and 1,527,100 is: 3,298,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,072 : 1,527,100 = 1,527,100 : x
  2. Step 2: Convert to fraction form
    707,072/1,527,100 = 1,527,100/x
  3. Step 3: Cross multiply
    707,072x = 1,527,100 × 1,527,100
  4. Step 4: Simplify right side
    707,072x = 2,332,034,410,000
  5. Step 5: Solve for x
    x = 2,332,034,410,000/707,072
  6. Step 6: Final answer
    x = 3,298,156.92

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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.