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Finding the Third Proportional to 1,085,938 and 2,316,094

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Solution

The third proportional to 1,085,938 and 2,316,094 is: 4,939,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,938 : 2,316,094 = 2,316,094 : x
  2. Step 2: Convert to fraction form
    1,085,938/2,316,094 = 2,316,094/x
  3. Step 3: Cross multiply
    1,085,938x = 2,316,094 × 2,316,094
  4. Step 4: Simplify right side
    1,085,938x = 5,364,291,416,836
  5. Step 5: Solve for x
    x = 5,364,291,416,836/1,085,938
  6. Step 6: Final answer
    x = 4,939,776.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.