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Finding the Third Proportional to 749,741.63 and 1,648,897.88

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Solution

The third proportional to 749,741.63 and 1,648,897.88 is: 3,626,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,741.63 : 1,648,897.88 = 1,648,897.88 : x
  2. Step 2: Convert to fraction form
    749,741.63/1,648,897.88 = 1,648,897.88/x
  3. Step 3: Cross multiply
    749,741.63x = 1,648,897.88 × 1,648,897.88
  4. Step 4: Simplify right side
    749,741.63x = 2,718,864,202,179.52
  5. Step 5: Solve for x
    x = 2,718,864,202,179.52/749,741.63
  6. Step 6: Final answer
    x = 3,626,401.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.