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Finding the Third Proportional to 1,961,715 and 2,999,596.50

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Solution

The third proportional to 1,961,715 and 2,999,596.50 is: 4,586,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961,715 : 2,999,596.50 = 2,999,596.50 : x
  2. Step 2: Convert to fraction form
    1,961,715/2,999,596.50 = 2,999,596.50/x
  3. Step 3: Cross multiply
    1,961,715x = 2,999,596.50 × 2,999,596.50
  4. Step 4: Simplify right side
    1,961,715x = 8,997,579,162,812.25
  5. Step 5: Solve for x
    x = 8,997,579,162,812.25/1,961,715
  6. Step 6: Final answer
    x = 4,586,588.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.