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Finding the Third Proportional to 730,145 and 1,597,935

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Solution

The third proportional to 730,145 and 1,597,935 is: 3,497,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,145 : 1,597,935 = 1,597,935 : x
  2. Step 2: Convert to fraction form
    730,145/1,597,935 = 1,597,935/x
  3. Step 3: Cross multiply
    730,145x = 1,597,935 × 1,597,935
  4. Step 4: Simplify right side
    730,145x = 2,553,396,264,225
  5. Step 5: Solve for x
    x = 2,553,396,264,225/730,145
  6. Step 6: Final answer
    x = 3,497,108.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.