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Finding the Third Proportional to 560,916 and 1,201,536

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Solution

The third proportional to 560,916 and 1,201,536 is: 2,573,805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,916 : 1,201,536 = 1,201,536 : x
  2. Step 2: Convert to fraction form
    560,916/1,201,536 = 1,201,536/x
  3. Step 3: Cross multiply
    560,916x = 1,201,536 × 1,201,536
  4. Step 4: Simplify right side
    560,916x = 1,443,688,759,296
  5. Step 5: Solve for x
    x = 1,443,688,759,296/560,916
  6. Step 6: Final answer
    x = 2,573,805.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.