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Finding the Third Proportional to 467,597.81 and 1,005,125.63

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Solution

The third proportional to 467,597.81 and 1,005,125.63 is: 2,160,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,597.81 : 1,005,125.63 = 1,005,125.63 : x
  2. Step 2: Convert to fraction form
    467,597.81/1,005,125.63 = 1,005,125.63/x
  3. Step 3: Cross multiply
    467,597.81x = 1,005,125.63 × 1,005,125.63
  4. Step 4: Simplify right side
    467,597.81x = 1,010,277,522,031.64
  5. Step 5: Solve for x
    x = 1,010,277,522,031.64/467,597.81
  6. Step 6: Final answer
    x = 2,160,569.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.