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Finding the Third Proportional to 772,912.50 and 1,648,557

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Solution

The third proportional to 772,912.50 and 1,648,557 is: 3,516,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,912.50 : 1,648,557 = 1,648,557 : x
  2. Step 2: Convert to fraction form
    772,912.50/1,648,557 = 1,648,557/x
  3. Step 3: Cross multiply
    772,912.50x = 1,648,557 × 1,648,557
  4. Step 4: Simplify right side
    772,912.50x = 2,717,740,182,249
  5. Step 5: Solve for x
    x = 2,717,740,182,249/772,912.50
  6. Step 6: Final answer
    x = 3,516,232.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.