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Finding the Third Proportional to 724,122 and 1,590,984

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Solution

The third proportional to 724,122 and 1,590,984 is: 3,495,585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,122 : 1,590,984 = 1,590,984 : x
  2. Step 2: Convert to fraction form
    724,122/1,590,984 = 1,590,984/x
  3. Step 3: Cross multiply
    724,122x = 1,590,984 × 1,590,984
  4. Step 4: Simplify right side
    724,122x = 2,531,230,088,256
  5. Step 5: Solve for x
    x = 2,531,230,088,256/724,122
  6. Step 6: Final answer
    x = 3,495,585.12

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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.