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Finding the Third Proportional to 654,900.19 and 993,418.17

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Solution

The third proportional to 654,900.19 and 993,418.17 is: 1,506,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,900.19 : 993,418.17 = 993,418.17 : x
  2. Step 2: Convert to fraction form
    654,900.19/993,418.17 = 993,418.17/x
  3. Step 3: Cross multiply
    654,900.19x = 993,418.17 × 993,418.17
  4. Step 4: Simplify right side
    654,900.19x = 986,879,664,211.47
  5. Step 5: Solve for x
    x = 986,879,664,211.47/654,900.19
  6. Step 6: Final answer
    x = 1,506,916.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.