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Finding the Third Proportional to 707,070 and 1,527,096

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Solution

The third proportional to 707,070 and 1,527,096 is: 3,298,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,070 : 1,527,096 = 1,527,096 : x
  2. Step 2: Convert to fraction form
    707,070/1,527,096 = 1,527,096/x
  3. Step 3: Cross multiply
    707,070x = 1,527,096 × 1,527,096
  4. Step 4: Simplify right side
    707,070x = 2,332,022,193,216
  5. Step 5: Solve for x
    x = 2,332,022,193,216/707,070
  6. Step 6: Final answer
    x = 3,298,148.97

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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.