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Finding the Third Proportional to 749,781 and 1,161,303

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Solution

The third proportional to 749,781 and 1,161,303 is: 1,798,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,781 : 1,161,303 = 1,161,303 : x
  2. Step 2: Convert to fraction form
    749,781/1,161,303 = 1,161,303/x
  3. Step 3: Cross multiply
    749,781x = 1,161,303 × 1,161,303
  4. Step 4: Simplify right side
    749,781x = 1,348,624,657,809
  5. Step 5: Solve for x
    x = 1,348,624,657,809/749,781
  6. Step 6: Final answer
    x = 1,798,691.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.