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Finding the Third Proportional to 2,031,376.50 and 2,972,288.25

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Solution

The third proportional to 2,031,376.50 and 2,972,288.25 is: 4,349,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,376.50 : 2,972,288.25 = 2,972,288.25 : x
  2. Step 2: Convert to fraction form
    2,031,376.50/2,972,288.25 = 2,972,288.25/x
  3. Step 3: Cross multiply
    2,031,376.50x = 2,972,288.25 × 2,972,288.25
  4. Step 4: Simplify right side
    2,031,376.50x = 8,834,497,441,088.06
  5. Step 5: Solve for x
    x = 8,834,497,441,088.06/2,031,376.50
  6. Step 6: Final answer
    x = 4,349,020.20

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.