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Finding the Third Proportional to 1,863,427.03 and 2,784,000.38

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Solution

The third proportional to 1,863,427.03 and 2,784,000.38 is: 4,159,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,427.03 : 2,784,000.38 = 2,784,000.38 : x
  2. Step 2: Convert to fraction form
    1,863,427.03/2,784,000.38 = 2,784,000.38/x
  3. Step 3: Cross multiply
    1,863,427.03x = 2,784,000.38 × 2,784,000.38
  4. Step 4: Simplify right side
    1,863,427.03x = 7,750,658,088,000.14
  5. Step 5: Solve for x
    x = 7,750,658,088,000.14/1,863,427.03
  6. Step 6: Final answer
    x = 4,159,356.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.