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Finding the Third Proportional to 589,318 and 1,264,659

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Solution

The third proportional to 589,318 and 1,264,659 is: 2,713,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,318 : 1,264,659 = 1,264,659 : x
  2. Step 2: Convert to fraction form
    589,318/1,264,659 = 1,264,659/x
  3. Step 3: Cross multiply
    589,318x = 1,264,659 × 1,264,659
  4. Step 4: Simplify right side
    589,318x = 1,599,362,386,281
  5. Step 5: Solve for x
    x = 1,599,362,386,281/589,318
  6. Step 6: Final answer
    x = 2,713,920.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.