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Finding the Third Proportional to 1,773,686.25 and 2,704,815

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Solution

The third proportional to 1,773,686.25 and 2,704,815 is: 4,124,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773,686.25 : 2,704,815 = 2,704,815 : x
  2. Step 2: Convert to fraction form
    1,773,686.25/2,704,815 = 2,704,815/x
  3. Step 3: Cross multiply
    1,773,686.25x = 2,704,815 × 2,704,815
  4. Step 4: Simplify right side
    1,773,686.25x = 7,316,024,184,225
  5. Step 5: Solve for x
    x = 7,316,024,184,225/1,773,686.25
  6. Step 6: Final answer
    x = 4,124,756.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.