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Finding the Third Proportional to 713,134 and 1,585,714

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Solution

The third proportional to 713,134 and 1,585,714 is: 3,525,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,134 : 1,585,714 = 1,585,714 : x
  2. Step 2: Convert to fraction form
    713,134/1,585,714 = 1,585,714/x
  3. Step 3: Cross multiply
    713,134x = 1,585,714 × 1,585,714
  4. Step 4: Simplify right side
    713,134x = 2,514,488,889,796
  5. Step 5: Solve for x
    x = 2,514,488,889,796/713,134
  6. Step 6: Final answer
    x = 3,525,969.72

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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.