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Finding the Third Proportional to 1,377,763.50 and 2,919,783

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Solution

The third proportional to 1,377,763.50 and 2,919,783 is: 6,187,660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,763.50 : 2,919,783 = 2,919,783 : x
  2. Step 2: Convert to fraction form
    1,377,763.50/2,919,783 = 2,919,783/x
  3. Step 3: Cross multiply
    1,377,763.50x = 2,919,783 × 2,919,783
  4. Step 4: Simplify right side
    1,377,763.50x = 8,525,132,767,089
  5. Step 5: Solve for x
    x = 8,525,132,767,089/1,377,763.50
  6. Step 6: Final answer
    x = 6,187,660.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.