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Finding the Third Proportional to 583,551 and 1,207,602

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Solution

The third proportional to 583,551 and 1,207,602 is: 2,499,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,551 : 1,207,602 = 1,207,602 : x
  2. Step 2: Convert to fraction form
    583,551/1,207,602 = 1,207,602/x
  3. Step 3: Cross multiply
    583,551x = 1,207,602 × 1,207,602
  4. Step 4: Simplify right side
    583,551x = 1,458,302,590,404
  5. Step 5: Solve for x
    x = 1,458,302,590,404/583,551
  6. Step 6: Final answer
    x = 2,499,014.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.