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Finding the Third Proportional to 1,157,707.50 and 2,705,640

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Solution

The third proportional to 1,157,707.50 and 2,705,640 is: 6,323,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,707.50 : 2,705,640 = 2,705,640 : x
  2. Step 2: Convert to fraction form
    1,157,707.50/2,705,640 = 2,705,640/x
  3. Step 3: Cross multiply
    1,157,707.50x = 2,705,640 × 2,705,640
  4. Step 4: Simplify right side
    1,157,707.50x = 7,320,487,809,600
  5. Step 5: Solve for x
    x = 7,320,487,809,600/1,157,707.50
  6. Step 6: Final answer
    x = 6,323,261.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.