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Finding the Third Proportional to 724,054 and 1,590,560

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Solution

The third proportional to 724,054 and 1,590,560 is: 3,494,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,054 : 1,590,560 = 1,590,560 : x
  2. Step 2: Convert to fraction form
    724,054/1,590,560 = 1,590,560/x
  3. Step 3: Cross multiply
    724,054x = 1,590,560 × 1,590,560
  4. Step 4: Simplify right side
    724,054x = 2,529,881,113,600
  5. Step 5: Solve for x
    x = 2,529,881,113,600/724,054
  6. Step 6: Final answer
    x = 3,494,050.32

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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.