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Finding the Third Proportional to 1,908,172.69 and 2,950,840.13

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Solution

The third proportional to 1,908,172.69 and 2,950,840.13 is: 4,563,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908,172.69 : 2,950,840.13 = 2,950,840.13 : x
  2. Step 2: Convert to fraction form
    1,908,172.69/2,950,840.13 = 2,950,840.13/x
  3. Step 3: Cross multiply
    1,908,172.69x = 2,950,840.13 × 2,950,840.13
  4. Step 4: Simplify right side
    1,908,172.69x = 8,707,457,443,310.02
  5. Step 5: Solve for x
    x = 8,707,457,443,310.02/1,908,172.69
  6. Step 6: Final answer
    x = 4,563,243.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.