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Finding the Third Proportional to 611,911 and 1,325,518

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Solution

The third proportional to 611,911 and 1,325,518 is: 2,871,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,911 : 1,325,518 = 1,325,518 : x
  2. Step 2: Convert to fraction form
    611,911/1,325,518 = 1,325,518/x
  3. Step 3: Cross multiply
    611,911x = 1,325,518 × 1,325,518
  4. Step 4: Simplify right side
    611,911x = 1,756,997,968,324
  5. Step 5: Solve for x
    x = 1,756,997,968,324/611,911
  6. Step 6: Final answer
    x = 2,871,329.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.