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Finding the Third Proportional to 814,700.63 and 1,232,536.88

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Solution

The third proportional to 814,700.63 and 1,232,536.88 is: 1,864,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,700.63 : 1,232,536.88 = 1,232,536.88 : x
  2. Step 2: Convert to fraction form
    814,700.63/1,232,536.88 = 1,232,536.88/x
  3. Step 3: Cross multiply
    814,700.63x = 1,232,536.88 × 1,232,536.88
  4. Step 4: Simplify right side
    814,700.63x = 1,519,147,148,234.77
  5. Step 5: Solve for x
    x = 1,519,147,148,234.77/814,700.63
  6. Step 6: Final answer
    x = 1,864,669.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.