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Finding the Third Proportional to 646,844 and 1,360,716

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Solution

The third proportional to 646,844 and 1,360,716 is: 2,862,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,844 : 1,360,716 = 1,360,716 : x
  2. Step 2: Convert to fraction form
    646,844/1,360,716 = 1,360,716/x
  3. Step 3: Cross multiply
    646,844x = 1,360,716 × 1,360,716
  4. Step 4: Simplify right side
    646,844x = 1,851,548,032,656
  5. Step 5: Solve for x
    x = 1,851,548,032,656/646,844
  6. Step 6: Final answer
    x = 2,862,433.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.