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Finding the Third Proportional to 765,941 and 1,169,648

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Solution

The third proportional to 765,941 and 1,169,648 is: 1,786,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,941 : 1,169,648 = 1,169,648 : x
  2. Step 2: Convert to fraction form
    765,941/1,169,648 = 1,169,648/x
  3. Step 3: Cross multiply
    765,941x = 1,169,648 × 1,169,648
  4. Step 4: Simplify right side
    765,941x = 1,368,076,443,904
  5. Step 5: Solve for x
    x = 1,368,076,443,904/765,941
  6. Step 6: Final answer
    x = 1,786,138.15

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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.