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Finding the Third Proportional to 713,132 and 1,585,710

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Solution

The third proportional to 713,132 and 1,585,710 is: 3,525,961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,132 : 1,585,710 = 1,585,710 : x
  2. Step 2: Convert to fraction form
    713,132/1,585,710 = 1,585,710/x
  3. Step 3: Cross multiply
    713,132x = 1,585,710 × 1,585,710
  4. Step 4: Simplify right side
    713,132x = 2,514,476,204,100
  5. Step 5: Solve for x
    x = 2,514,476,204,100/713,132
  6. Step 6: Final answer
    x = 3,525,961.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.