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Finding the Third Proportional to 1,363,186.50 and 2,867,393.63

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Solution

The third proportional to 1,363,186.50 and 2,867,393.63 is: 6,031,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363,186.50 : 2,867,393.63 = 2,867,393.63 : x
  2. Step 2: Convert to fraction form
    1,363,186.50/2,867,393.63 = 2,867,393.63/x
  3. Step 3: Cross multiply
    1,363,186.50x = 2,867,393.63 × 2,867,393.63
  4. Step 4: Simplify right side
    1,363,186.50x = 8,221,946,200,690.64
  5. Step 5: Solve for x
    x = 8,221,946,200,690.64/1,363,186.50
  6. Step 6: Final answer
    x = 6,031,416.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.