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Finding the Third Proportional to 560,972 and 1,207,477

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Solution

The third proportional to 560,972 and 1,207,477 is: 2,599,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,972 : 1,207,477 = 1,207,477 : x
  2. Step 2: Convert to fraction form
    560,972/1,207,477 = 1,207,477/x
  3. Step 3: Cross multiply
    560,972x = 1,207,477 × 1,207,477
  4. Step 4: Simplify right side
    560,972x = 1,458,000,705,529
  5. Step 5: Solve for x
    x = 1,458,000,705,529/560,972
  6. Step 6: Final answer
    x = 2,599,061.46

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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.