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Finding the Third Proportional to 977,361 and 2,035,617.50

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Solution

The third proportional to 977,361 and 2,035,617.50 is: 4,239,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,361 : 2,035,617.50 = 2,035,617.50 : x
  2. Step 2: Convert to fraction form
    977,361/2,035,617.50 = 2,035,617.50/x
  3. Step 3: Cross multiply
    977,361x = 2,035,617.50 × 2,035,617.50
  4. Step 4: Simplify right side
    977,361x = 4,143,738,606,306.25
  5. Step 5: Solve for x
    x = 4,143,738,606,306.25/977,361
  6. Step 6: Final answer
    x = 4,239,721.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.