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Finding the Third Proportional to 630,829.69 and 1,368,138.94

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Solution

The third proportional to 630,829.69 and 1,368,138.94 is: 2,967,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,829.69 : 1,368,138.94 = 1,368,138.94 : x
  2. Step 2: Convert to fraction form
    630,829.69/1,368,138.94 = 1,368,138.94/x
  3. Step 3: Cross multiply
    630,829.69x = 1,368,138.94 × 1,368,138.94
  4. Step 4: Simplify right side
    630,829.69x = 1,871,804,152,303.63
  5. Step 5: Solve for x
    x = 1,871,804,152,303.63/630,829.69
  6. Step 6: Final answer
    x = 2,967,209.99

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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.