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Finding the Third Proportional to 724,236 and 1,064,157

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Solution

The third proportional to 724,236 and 1,064,157 is: 1,563,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,236 : 1,064,157 = 1,064,157 : x
  2. Step 2: Convert to fraction form
    724,236/1,064,157 = 1,064,157/x
  3. Step 3: Cross multiply
    724,236x = 1,064,157 × 1,064,157
  4. Step 4: Simplify right side
    724,236x = 1,132,430,120,649
  5. Step 5: Solve for x
    x = 1,132,430,120,649/724,236
  6. Step 6: Final answer
    x = 1,563,620.31

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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.