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Finding the Third Proportional to 723,930 and 1,590,015

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Solution

The third proportional to 723,930 and 1,590,015 is: 3,492,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,930 : 1,590,015 = 1,590,015 : x
  2. Step 2: Convert to fraction form
    723,930/1,590,015 = 1,590,015/x
  3. Step 3: Cross multiply
    723,930x = 1,590,015 × 1,590,015
  4. Step 4: Simplify right side
    723,930x = 2,528,147,700,225
  5. Step 5: Solve for x
    x = 2,528,147,700,225/723,930
  6. Step 6: Final answer
    x = 3,492,254.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.