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Finding the Third Proportional to 909,164 and 1,914,178

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Solution

The third proportional to 909,164 and 1,914,178 is: 4,030,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,164 : 1,914,178 = 1,914,178 : x
  2. Step 2: Convert to fraction form
    909,164/1,914,178 = 1,914,178/x
  3. Step 3: Cross multiply
    909,164x = 1,914,178 × 1,914,178
  4. Step 4: Simplify right side
    909,164x = 3,664,077,415,684
  5. Step 5: Solve for x
    x = 3,664,077,415,684/909,164
  6. Step 6: Final answer
    x = 4,030,161.13

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.