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Finding the Third Proportional to 724,056 and 1,590,564

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Solution

The third proportional to 724,056 and 1,590,564 is: 3,494,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,056 : 1,590,564 = 1,590,564 : x
  2. Step 2: Convert to fraction form
    724,056/1,590,564 = 1,590,564/x
  3. Step 3: Cross multiply
    724,056x = 1,590,564 × 1,590,564
  4. Step 4: Simplify right side
    724,056x = 2,529,893,838,096
  5. Step 5: Solve for x
    x = 2,529,893,838,096/724,056
  6. Step 6: Final answer
    x = 3,494,058.25

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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.