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Finding the Third Proportional to 759,603 and 1,664,142

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Solution

The third proportional to 759,603 and 1,664,142 is: 3,645,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,603 : 1,664,142 = 1,664,142 : x
  2. Step 2: Convert to fraction form
    759,603/1,664,142 = 1,664,142/x
  3. Step 3: Cross multiply
    759,603x = 1,664,142 × 1,664,142
  4. Step 4: Simplify right side
    759,603x = 2,769,368,596,164
  5. Step 5: Solve for x
    x = 2,769,368,596,164/759,603
  6. Step 6: Final answer
    x = 3,645,810.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.