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Finding the Third Proportional to 453,564 and 993,060

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Solution

The third proportional to 453,564 and 993,060 is: 2,174,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,564 : 993,060 = 993,060 : x
  2. Step 2: Convert to fraction form
    453,564/993,060 = 993,060/x
  3. Step 3: Cross multiply
    453,564x = 993,060 × 993,060
  4. Step 4: Simplify right side
    453,564x = 986,168,163,600
  5. Step 5: Solve for x
    x = 986,168,163,600/453,564
  6. Step 6: Final answer
    x = 2,174,264.63

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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.