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Finding the Third Proportional to 3,490,087.50 and 5,214,013.03

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Solution

The third proportional to 3,490,087.50 and 5,214,013.03 is: 7,789,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490,087.50 : 5,214,013.03 = 5,214,013.03 : x
  2. Step 2: Convert to fraction form
    3,490,087.50/5,214,013.03 = 5,214,013.03/x
  3. Step 3: Cross multiply
    3,490,087.50x = 5,214,013.03 × 5,214,013.03
  4. Step 4: Simplify right side
    3,490,087.50x = 27,185,931,890,044.81
  5. Step 5: Solve for x
    x = 27,185,931,890,044.81/3,490,087.50
  6. Step 6: Final answer
    x = 7,789,470.00

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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.