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Finding the Third Proportional to 1,632,897 and 3,460,471.50

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Solution

The third proportional to 1,632,897 and 3,460,471.50 is: 7,333,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,897 : 3,460,471.50 = 3,460,471.50 : x
  2. Step 2: Convert to fraction form
    1,632,897/3,460,471.50 = 3,460,471.50/x
  3. Step 3: Cross multiply
    1,632,897x = 3,460,471.50 × 3,460,471.50
  4. Step 4: Simplify right side
    1,632,897x = 11,974,863,002,312.25
  5. Step 5: Solve for x
    x = 11,974,863,002,312.25/1,632,897
  6. Step 6: Final answer
    x = 7,333,507.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.