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Finding the Third Proportional to 3,634,509.50 and 5,627,020

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Solution

The third proportional to 3,634,509.50 and 5,627,020 is: 8,711,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634,509.50 : 5,627,020 = 5,627,020 : x
  2. Step 2: Convert to fraction form
    3,634,509.50/5,627,020 = 5,627,020/x
  3. Step 3: Cross multiply
    3,634,509.50x = 5,627,020 × 5,627,020
  4. Step 4: Simplify right side
    3,634,509.50x = 31,663,354,080,400
  5. Step 5: Solve for x
    x = 31,663,354,080,400/3,634,509.50
  6. Step 6: Final answer
    x = 8,711,864.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.