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Finding the Third Proportional to 724,240 and 1,064,160

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Solution

The third proportional to 724,240 and 1,064,160 is: 1,563,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,240 : 1,064,160 = 1,064,160 : x
  2. Step 2: Convert to fraction form
    724,240/1,064,160 = 1,064,160/x
  3. Step 3: Cross multiply
    724,240x = 1,064,160 × 1,064,160
  4. Step 4: Simplify right side
    724,240x = 1,132,436,505,600
  5. Step 5: Solve for x
    x = 1,132,436,505,600/724,240
  6. Step 6: Final answer
    x = 1,563,620.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.