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Finding the Third Proportional to 560,550 and 1,226,328

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Solution

The third proportional to 560,550 and 1,226,328 is: 2,682,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,550 : 1,226,328 = 1,226,328 : x
  2. Step 2: Convert to fraction form
    560,550/1,226,328 = 1,226,328/x
  3. Step 3: Cross multiply
    560,550x = 1,226,328 × 1,226,328
  4. Step 4: Simplify right side
    560,550x = 1,503,880,363,584
  5. Step 5: Solve for x
    x = 1,503,880,363,584/560,550
  6. Step 6: Final answer
    x = 2,682,865.69

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Why These Related Problems?

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