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Finding the Third Proportional to 1,503,643.50 and 3,548,336.63

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Solution

The third proportional to 1,503,643.50 and 3,548,336.63 is: 8,373,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503,643.50 : 3,548,336.63 = 3,548,336.63 : x
  2. Step 2: Convert to fraction form
    1,503,643.50/3,548,336.63 = 3,548,336.63/x
  3. Step 3: Cross multiply
    1,503,643.50x = 3,548,336.63 × 3,548,336.63
  4. Step 4: Simplify right side
    1,503,643.50x = 12,590,692,804,316.39
  5. Step 5: Solve for x
    x = 12,590,692,804,316.39/1,503,643.50
  6. Step 6: Final answer
    x = 8,373,456.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.