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Finding the Third Proportional to 810,166 and 1,766,133

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Solution

The third proportional to 810,166 and 1,766,133 is: 3,850,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,166 : 1,766,133 = 1,766,133 : x
  2. Step 2: Convert to fraction form
    810,166/1,766,133 = 1,766,133/x
  3. Step 3: Cross multiply
    810,166x = 1,766,133 × 1,766,133
  4. Step 4: Simplify right side
    810,166x = 3,119,225,773,689
  5. Step 5: Solve for x
    x = 3,119,225,773,689/810,166
  6. Step 6: Final answer
    x = 3,850,106.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.