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Finding the Third Proportional to 1,186,083 and 2,798,550

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Solution

The third proportional to 1,186,083 and 2,798,550 is: 6,603,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,083 : 2,798,550 = 2,798,550 : x
  2. Step 2: Convert to fraction form
    1,186,083/2,798,550 = 2,798,550/x
  3. Step 3: Cross multiply
    1,186,083x = 2,798,550 × 2,798,550
  4. Step 4: Simplify right side
    1,186,083x = 7,831,882,102,500
  5. Step 5: Solve for x
    x = 7,831,882,102,500/1,186,083
  6. Step 6: Final answer
    x = 6,603,148.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.