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Finding the Third Proportional to 2,000,931 and 2,995,894.50

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Solution

The third proportional to 2,000,931 and 2,995,894.50 is: 4,485,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,931 : 2,995,894.50 = 2,995,894.50 : x
  2. Step 2: Convert to fraction form
    2,000,931/2,995,894.50 = 2,995,894.50/x
  3. Step 3: Cross multiply
    2,000,931x = 2,995,894.50 × 2,995,894.50
  4. Step 4: Simplify right side
    2,000,931x = 8,975,383,855,130.25
  5. Step 5: Solve for x
    x = 8,975,383,855,130.25/2,000,931
  6. Step 6: Final answer
    x = 4,485,603.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.