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Finding the Third Proportional to 1,856,219.06 and 2,953,639.13

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Solution

The third proportional to 1,856,219.06 and 2,953,639.13 is: 4,699,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856,219.06 : 2,953,639.13 = 2,953,639.13 : x
  2. Step 2: Convert to fraction form
    1,856,219.06/2,953,639.13 = 2,953,639.13/x
  3. Step 3: Cross multiply
    1,856,219.06x = 2,953,639.13 × 2,953,639.13
  4. Step 4: Simplify right side
    1,856,219.06x = 8,723,984,080,730.77
  5. Step 5: Solve for x
    x = 8,723,984,080,730.77/1,856,219.06
  6. Step 6: Final answer
    x = 4,699,867.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.