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Finding the Third Proportional to 1,714,263.75 and 3,650,508

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Solution

The third proportional to 1,714,263.75 and 3,650,508 is: 7,773,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,263.75 : 3,650,508 = 3,650,508 : x
  2. Step 2: Convert to fraction form
    1,714,263.75/3,650,508 = 3,650,508/x
  3. Step 3: Cross multiply
    1,714,263.75x = 3,650,508 × 3,650,508
  4. Step 4: Simplify right side
    1,714,263.75x = 13,326,208,658,064
  5. Step 5: Solve for x
    x = 13,326,208,658,064/1,714,263.75
  6. Step 6: Final answer
    x = 7,773,721.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.