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Finding the Third Proportional to 1,302,691.50 and 2,828,196

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Solution

The third proportional to 1,302,691.50 and 2,828,196 is: 6,140,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,691.50 : 2,828,196 = 2,828,196 : x
  2. Step 2: Convert to fraction form
    1,302,691.50/2,828,196 = 2,828,196/x
  3. Step 3: Cross multiply
    1,302,691.50x = 2,828,196 × 2,828,196
  4. Step 4: Simplify right side
    1,302,691.50x = 7,998,692,614,416
  5. Step 5: Solve for x
    x = 7,998,692,614,416/1,302,691.50
  6. Step 6: Final answer
    x = 6,140,128.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.