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Finding the Third Proportional to 1,955,263.78 and 2,862,900.14

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Solution

The third proportional to 1,955,263.78 and 2,862,900.14 is: 4,191,862.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955,263.78 : 2,862,900.14 = 2,862,900.14 : x
  2. Step 2: Convert to fraction form
    1,955,263.78/2,862,900.14 = 2,862,900.14/x
  3. Step 3: Cross multiply
    1,955,263.78x = 2,862,900.14 × 2,862,900.14
  4. Step 4: Simplify right side
    1,955,263.78x = 8,196,197,215,190.65
  5. Step 5: Solve for x
    x = 8,196,197,215,190.65/1,955,263.78
  6. Step 6: Final answer
    x = 4,191,862.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.