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Finding the Third Proportional to 723,833 and 1,590,430

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Solution

The third proportional to 723,833 and 1,590,430 is: 3,494,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,833 : 1,590,430 = 1,590,430 : x
  2. Step 2: Convert to fraction form
    723,833/1,590,430 = 1,590,430/x
  3. Step 3: Cross multiply
    723,833x = 1,590,430 × 1,590,430
  4. Step 4: Simplify right side
    723,833x = 2,529,467,584,900
  5. Step 5: Solve for x
    x = 2,529,467,584,900/723,833
  6. Step 6: Final answer
    x = 3,494,545.82

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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.