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Finding the Third Proportional to 501,458.34 and 1,084,648.22

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Solution

The third proportional to 501,458.34 and 1,084,648.22 is: 2,346,080.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,458.34 : 1,084,648.22 = 1,084,648.22 : x
  2. Step 2: Convert to fraction form
    501,458.34/1,084,648.22 = 1,084,648.22/x
  3. Step 3: Cross multiply
    501,458.34x = 1,084,648.22 × 1,084,648.22
  4. Step 4: Simplify right side
    501,458.34x = 1,176,461,758,437.55
  5. Step 5: Solve for x
    x = 1,176,461,758,437.55/501,458.34
  6. Step 6: Final answer
    x = 2,346,080.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.