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Finding the Third Proportional to 2,122,582.50 and 3,266,460

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Solution

The third proportional to 2,122,582.50 and 3,266,460 is: 5,026,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122,582.50 : 3,266,460 = 3,266,460 : x
  2. Step 2: Convert to fraction form
    2,122,582.50/3,266,460 = 3,266,460/x
  3. Step 3: Cross multiply
    2,122,582.50x = 3,266,460 × 3,266,460
  4. Step 4: Simplify right side
    2,122,582.50x = 10,669,760,931,600
  5. Step 5: Solve for x
    x = 10,669,760,931,600/2,122,582.50
  6. Step 6: Final answer
    x = 5,026,782.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.