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Finding the Third Proportional to 856,637.63 and 1,827,272.63

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Solution

The third proportional to 856,637.63 and 1,827,272.63 is: 3,897,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,637.63 : 1,827,272.63 = 1,827,272.63 : x
  2. Step 2: Convert to fraction form
    856,637.63/1,827,272.63 = 1,827,272.63/x
  3. Step 3: Cross multiply
    856,637.63x = 1,827,272.63 × 1,827,272.63
  4. Step 4: Simplify right side
    856,637.63x = 3,338,925,246,074.39
  5. Step 5: Solve for x
    x = 3,338,925,246,074.39/856,637.63
  6. Step 6: Final answer
    x = 3,897,710.24

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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.