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Finding the Third Proportional to 724,172.51 and 1,095,580.21

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Solution

The third proportional to 724,172.51 and 1,095,580.21 is: 1,657,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,172.51 : 1,095,580.21 = 1,095,580.21 : x
  2. Step 2: Convert to fraction form
    724,172.51/1,095,580.21 = 1,095,580.21/x
  3. Step 3: Cross multiply
    724,172.51x = 1,095,580.21 × 1,095,580.21
  4. Step 4: Simplify right side
    724,172.51x = 1,200,296,002,877.41
  5. Step 5: Solve for x
    x = 1,200,296,002,877.41/724,172.51
  6. Step 6: Final answer
    x = 1,657,472.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.