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Finding the Third Proportional to 3,066,492.94 and 4,727,678.91

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Solution

The third proportional to 3,066,492.94 and 4,727,678.91 is: 7,288,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066,492.94 : 4,727,678.91 = 4,727,678.91 : x
  2. Step 2: Convert to fraction form
    3,066,492.94/4,727,678.91 = 4,727,678.91/x
  3. Step 3: Cross multiply
    3,066,492.94x = 4,727,678.91 × 4,727,678.91
  4. Step 4: Simplify right side
    3,066,492.94x = 22,350,947,840,601.20
  5. Step 5: Solve for x
    x = 22,350,947,840,601.20/3,066,492.94
  6. Step 6: Final answer
    x = 7,288,765.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.