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Finding the Third Proportional to 471,838.50 and 1,018,764

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Solution

The third proportional to 471,838.50 and 1,018,764 is: 2,199,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,838.50 : 1,018,764 = 1,018,764 : x
  2. Step 2: Convert to fraction form
    471,838.50/1,018,764 = 1,018,764/x
  3. Step 3: Cross multiply
    471,838.50x = 1,018,764 × 1,018,764
  4. Step 4: Simplify right side
    471,838.50x = 1,037,880,087,696
  5. Step 5: Solve for x
    x = 1,037,880,087,696/471,838.50
  6. Step 6: Final answer
    x = 2,199,651.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.