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Finding the Third Proportional to 830,733.47 and 1,244,714.34

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Solution

The third proportional to 830,733.47 and 1,244,714.34 is: 1,864,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,733.47 : 1,244,714.34 = 1,244,714.34 : x
  2. Step 2: Convert to fraction form
    830,733.47/1,244,714.34 = 1,244,714.34/x
  3. Step 3: Cross multiply
    830,733.47x = 1,244,714.34 × 1,244,714.34
  4. Step 4: Simplify right side
    830,733.47x = 1,549,313,797,536.99
  5. Step 5: Solve for x
    x = 1,549,313,797,536.99/830,733.47
  6. Step 6: Final answer
    x = 1,864,995.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.