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Finding the Third Proportional to 2,004,436.76 and 3,102,840.42

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Solution

The third proportional to 2,004,436.76 and 3,102,840.42 is: 4,803,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,436.76 : 3,102,840.42 = 3,102,840.42 : x
  2. Step 2: Convert to fraction form
    2,004,436.76/3,102,840.42 = 3,102,840.42/x
  3. Step 3: Cross multiply
    2,004,436.76x = 3,102,840.42 × 3,102,840.42
  4. Step 4: Simplify right side
    2,004,436.76x = 9,627,618,683,621.43
  5. Step 5: Solve for x
    x = 9,627,618,683,621.43/2,004,436.76
  6. Step 6: Final answer
    x = 4,803,154.13

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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.