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Finding the Third Proportional to 1,291,546 and 1,772,943

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Solution

The third proportional to 1,291,546 and 1,772,943 is: 2,433,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,546 : 1,772,943 = 1,772,943 : x
  2. Step 2: Convert to fraction form
    1,291,546/1,772,943 = 1,772,943/x
  3. Step 3: Cross multiply
    1,291,546x = 1,772,943 × 1,772,943
  4. Step 4: Simplify right side
    1,291,546x = 3,143,326,881,249
  5. Step 5: Solve for x
    x = 3,143,326,881,249/1,291,546
  6. Step 6: Final answer
    x = 2,433,770.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.