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Finding the Third Proportional to 1,105,056 and 2,308,284

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Solution

The third proportional to 1,105,056 and 2,308,284 is: 4,821,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,056 : 2,308,284 = 2,308,284 : x
  2. Step 2: Convert to fraction form
    1,105,056/2,308,284 = 2,308,284/x
  3. Step 3: Cross multiply
    1,105,056x = 2,308,284 × 2,308,284
  4. Step 4: Simplify right side
    1,105,056x = 5,328,175,024,656
  5. Step 5: Solve for x
    x = 5,328,175,024,656/1,105,056
  6. Step 6: Final answer
    x = 4,821,633.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.