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Finding the Third Proportional to 656,017.10 and 1,364,407.03

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Solution

The third proportional to 656,017.10 and 1,364,407.03 is: 2,837,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,017.10 : 1,364,407.03 = 1,364,407.03 : x
  2. Step 2: Convert to fraction form
    656,017.10/1,364,407.03 = 1,364,407.03/x
  3. Step 3: Cross multiply
    656,017.10x = 1,364,407.03 × 1,364,407.03
  4. Step 4: Simplify right side
    656,017.10x = 1,861,606,546,924.44
  5. Step 5: Solve for x
    x = 1,861,606,546,924.44/656,017.10
  6. Step 6: Final answer
    x = 2,837,740.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.