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Finding the Third Proportional to 1,737,807.86 and 3,784,557.94

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Solution

The third proportional to 1,737,807.86 and 3,784,557.94 is: 8,241,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,807.86 : 3,784,557.94 = 3,784,557.94 : x
  2. Step 2: Convert to fraction form
    1,737,807.86/3,784,557.94 = 3,784,557.94/x
  3. Step 3: Cross multiply
    1,737,807.86x = 3,784,557.94 × 3,784,557.94
  4. Step 4: Simplify right side
    1,737,807.86x = 14,322,878,782,294.25
  5. Step 5: Solve for x
    x = 14,322,878,782,294.25/1,737,807.86
  6. Step 6: Final answer
    x = 8,241,923.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.