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Finding the Third Proportional to 560,957 and 1,207,450

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Solution

The third proportional to 560,957 and 1,207,450 is: 2,599,014.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,957 : 1,207,450 = 1,207,450 : x
  2. Step 2: Convert to fraction form
    560,957/1,207,450 = 1,207,450/x
  3. Step 3: Cross multiply
    560,957x = 1,207,450 × 1,207,450
  4. Step 4: Simplify right side
    560,957x = 1,457,935,502,500
  5. Step 5: Solve for x
    x = 1,457,935,502,500/560,957
  6. Step 6: Final answer
    x = 2,599,014.72

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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.