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Finding the Third Proportional to 1,583,134.88 and 3,087,527.63

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Solution

The third proportional to 1,583,134.88 and 3,087,527.63 is: 6,021,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,134.88 : 3,087,527.63 = 3,087,527.63 : x
  2. Step 2: Convert to fraction form
    1,583,134.88/3,087,527.63 = 3,087,527.63/x
  3. Step 3: Cross multiply
    1,583,134.88x = 3,087,527.63 × 3,087,527.63
  4. Step 4: Simplify right side
    1,583,134.88x = 9,532,826,835,138.14
  5. Step 5: Solve for x
    x = 9,532,826,835,138.14/1,583,134.88
  6. Step 6: Final answer
    x = 6,021,487.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.