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Finding the Third Proportional to 598,896 and 1,298,515.50

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Solution

The third proportional to 598,896 and 1,298,515.50 is: 2,815,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,896 : 1,298,515.50 = 1,298,515.50 : x
  2. Step 2: Convert to fraction form
    598,896/1,298,515.50 = 1,298,515.50/x
  3. Step 3: Cross multiply
    598,896x = 1,298,515.50 × 1,298,515.50
  4. Step 4: Simplify right side
    598,896x = 1,686,142,503,740.25
  5. Step 5: Solve for x
    x = 1,686,142,503,740.25/598,896
  6. Step 6: Final answer
    x = 2,815,417.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.