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Finding the Third Proportional to 547,603.50 and 1,103,347.50

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Solution

The third proportional to 547,603.50 and 1,103,347.50 is: 2,223,097.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,603.50 : 1,103,347.50 = 1,103,347.50 : x
  2. Step 2: Convert to fraction form
    547,603.50/1,103,347.50 = 1,103,347.50/x
  3. Step 3: Cross multiply
    547,603.50x = 1,103,347.50 × 1,103,347.50
  4. Step 4: Simplify right side
    547,603.50x = 1,217,375,705,756.25
  5. Step 5: Solve for x
    x = 1,217,375,705,756.25/547,603.50
  6. Step 6: Final answer
    x = 2,223,097.01

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.