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Finding the Third Proportional to 2,087,527.50 and 3,232,303.22

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Solution

The third proportional to 2,087,527.50 and 3,232,303.22 is: 5,004,860.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087,527.50 : 3,232,303.22 = 3,232,303.22 : x
  2. Step 2: Convert to fraction form
    2,087,527.50/3,232,303.22 = 3,232,303.22/x
  3. Step 3: Cross multiply
    2,087,527.50x = 3,232,303.22 × 3,232,303.22
  4. Step 4: Simplify right side
    2,087,527.50x = 10,447,784,097,941.61
  5. Step 5: Solve for x
    x = 10,447,784,097,941.61/2,087,527.50
  6. Step 6: Final answer
    x = 5,004,860.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.