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Finding the Third Proportional to 1,101,031.42 and 1,684,455.12

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Solution

The third proportional to 1,101,031.42 and 1,684,455.12 is: 2,577,028.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,031.42 : 1,684,455.12 = 1,684,455.12 : x
  2. Step 2: Convert to fraction form
    1,101,031.42/1,684,455.12 = 1,684,455.12/x
  3. Step 3: Cross multiply
    1,101,031.42x = 1,684,455.12 × 1,684,455.12
  4. Step 4: Simplify right side
    1,101,031.42x = 2,837,389,041,819.15
  5. Step 5: Solve for x
    x = 2,837,389,041,819.15/1,101,031.42
  6. Step 6: Final answer
    x = 2,577,028.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.