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Finding the Third Proportional to 707,832 and 1,528,272

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Solution

The third proportional to 707,832 and 1,528,272 is: 3,299,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,832 : 1,528,272 = 1,528,272 : x
  2. Step 2: Convert to fraction form
    707,832/1,528,272 = 1,528,272/x
  3. Step 3: Cross multiply
    707,832x = 1,528,272 × 1,528,272
  4. Step 4: Simplify right side
    707,832x = 2,335,615,305,984
  5. Step 5: Solve for x
    x = 2,335,615,305,984/707,832
  6. Step 6: Final answer
    x = 3,299,674.65

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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.