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Finding the Third Proportional to 756,663 and 1,157,160

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Solution

The third proportional to 756,663 and 1,157,160 is: 1,769,637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,663 : 1,157,160 = 1,157,160 : x
  2. Step 2: Convert to fraction form
    756,663/1,157,160 = 1,157,160/x
  3. Step 3: Cross multiply
    756,663x = 1,157,160 × 1,157,160
  4. Step 4: Simplify right side
    756,663x = 1,339,019,265,600
  5. Step 5: Solve for x
    x = 1,339,019,265,600/756,663
  6. Step 6: Final answer
    x = 1,769,637.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.