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Finding the Third Proportional to 599,455.69 and 1,294,869.94

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Solution

The third proportional to 599,455.69 and 1,294,869.94 is: 2,797,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,455.69 : 1,294,869.94 = 1,294,869.94 : x
  2. Step 2: Convert to fraction form
    599,455.69/1,294,869.94 = 1,294,869.94/x
  3. Step 3: Cross multiply
    599,455.69x = 1,294,869.94 × 1,294,869.94
  4. Step 4: Simplify right side
    599,455.69x = 1,676,688,155,041.25
  5. Step 5: Solve for x
    x = 1,676,688,155,041.25/599,455.69
  6. Step 6: Final answer
    x = 2,797,017.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.