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Finding the Third Proportional to 599,547 and 1,284,562

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Solution

The third proportional to 599,547 and 1,284,562 is: 2,752,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,547 : 1,284,562 = 1,284,562 : x
  2. Step 2: Convert to fraction form
    599,547/1,284,562 = 1,284,562/x
  3. Step 3: Cross multiply
    599,547x = 1,284,562 × 1,284,562
  4. Step 4: Simplify right side
    599,547x = 1,650,099,531,844
  5. Step 5: Solve for x
    x = 1,650,099,531,844/599,547
  6. Step 6: Final answer
    x = 2,752,243.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.