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Finding the Third Proportional to 1,583,101.13 and 3,733,249.50

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Solution

The third proportional to 1,583,101.13 and 3,733,249.50 is: 8,803,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,101.13 : 3,733,249.50 = 3,733,249.50 : x
  2. Step 2: Convert to fraction form
    1,583,101.13/3,733,249.50 = 3,733,249.50/x
  3. Step 3: Cross multiply
    1,583,101.13x = 3,733,249.50 × 3,733,249.50
  4. Step 4: Simplify right side
    1,583,101.13x = 13,937,151,829,250.25
  5. Step 5: Solve for x
    x = 13,937,151,829,250.25/1,583,101.13
  6. Step 6: Final answer
    x = 8,803,702.81

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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.