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Finding the Third Proportional to 862,405.13 and 1,875,814.41

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Solution

The third proportional to 862,405.13 and 1,875,814.41 is: 4,080,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,405.13 : 1,875,814.41 = 1,875,814.41 : x
  2. Step 2: Convert to fraction form
    862,405.13/1,875,814.41 = 1,875,814.41/x
  3. Step 3: Cross multiply
    862,405.13x = 1,875,814.41 × 1,875,814.41
  4. Step 4: Simplify right side
    862,405.13x = 3,518,679,686,695.04
  5. Step 5: Solve for x
    x = 3,518,679,686,695.04/862,405.13
  6. Step 6: Final answer
    x = 4,080,077.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.