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Finding the Third Proportional to 1,516,032 and 2,229,715.50

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Solution

The third proportional to 1,516,032 and 2,229,715.50 is: 3,279,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516,032 : 2,229,715.50 = 2,229,715.50 : x
  2. Step 2: Convert to fraction form
    1,516,032/2,229,715.50 = 2,229,715.50/x
  3. Step 3: Cross multiply
    1,516,032x = 2,229,715.50 × 2,229,715.50
  4. Step 4: Simplify right side
    1,516,032x = 4,971,631,210,940.25
  5. Step 5: Solve for x
    x = 4,971,631,210,940.25/1,516,032
  6. Step 6: Final answer
    x = 3,279,370.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.