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Finding the Third Proportional to 599,670 and 1,298,985

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Solution

The third proportional to 599,670 and 1,298,985 is: 2,813,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,670 : 1,298,985 = 1,298,985 : x
  2. Step 2: Convert to fraction form
    599,670/1,298,985 = 1,298,985/x
  3. Step 3: Cross multiply
    599,670x = 1,298,985 × 1,298,985
  4. Step 4: Simplify right side
    599,670x = 1,687,362,030,225
  5. Step 5: Solve for x
    x = 1,687,362,030,225/599,670
  6. Step 6: Final answer
    x = 2,813,817.65

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Why These Related Problems?

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