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Finding the Third Proportional to 707,856 and 1,528,320

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Solution

The third proportional to 707,856 and 1,528,320 is: 3,299,770.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,856 : 1,528,320 = 1,528,320 : x
  2. Step 2: Convert to fraction form
    707,856/1,528,320 = 1,528,320/x
  3. Step 3: Cross multiply
    707,856x = 1,528,320 × 1,528,320
  4. Step 4: Simplify right side
    707,856x = 2,335,762,022,400
  5. Step 5: Solve for x
    x = 2,335,762,022,400/707,856
  6. Step 6: Final answer
    x = 3,299,770.04

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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.