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Finding the Third Proportional to 1,714,160.25 and 3,570,194.25

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Solution

The third proportional to 1,714,160.25 and 3,570,194.25 is: 7,435,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,160.25 : 3,570,194.25 = 3,570,194.25 : x
  2. Step 2: Convert to fraction form
    1,714,160.25/3,570,194.25 = 3,570,194.25/x
  3. Step 3: Cross multiply
    1,714,160.25x = 3,570,194.25 × 3,570,194.25
  4. Step 4: Simplify right side
    1,714,160.25x = 12,746,286,982,733.06
  5. Step 5: Solve for x
    x = 12,746,286,982,733.06/1,714,160.25
  6. Step 6: Final answer
    x = 7,435,878.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.