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Finding the Third Proportional to 4,595,671.69 and 6,678,019.69

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Solution

The third proportional to 4,595,671.69 and 6,678,019.69 is: 9,703,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595,671.69 : 6,678,019.69 = 6,678,019.69 : x
  2. Step 2: Convert to fraction form
    4,595,671.69/6,678,019.69 = 6,678,019.69/x
  3. Step 3: Cross multiply
    4,595,671.69x = 6,678,019.69 × 6,678,019.69
  4. Step 4: Simplify right side
    4,595,671.69x = 44,595,946,946,637.59
  5. Step 5: Solve for x
    x = 44,595,946,946,637.59/4,595,671.69
  6. Step 6: Final answer
    x = 9,703,901.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.