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Finding the Third Proportional to 707,184 and 1,527,336

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Solution

The third proportional to 707,184 and 1,527,336 is: 3,298,653.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,184 : 1,527,336 = 1,527,336 : x
  2. Step 2: Convert to fraction form
    707,184/1,527,336 = 1,527,336/x
  3. Step 3: Cross multiply
    707,184x = 1,527,336 × 1,527,336
  4. Step 4: Simplify right side
    707,184x = 2,332,755,256,896
  5. Step 5: Solve for x
    x = 2,332,755,256,896/707,184
  6. Step 6: Final answer
    x = 3,298,653.90

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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.