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Finding the Third Proportional to 545,422 and 1,159,783

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Solution

The third proportional to 545,422 and 1,159,783 is: 2,466,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,422 : 1,159,783 = 1,159,783 : x
  2. Step 2: Convert to fraction form
    545,422/1,159,783 = 1,159,783/x
  3. Step 3: Cross multiply
    545,422x = 1,159,783 × 1,159,783
  4. Step 4: Simplify right side
    545,422x = 1,345,096,607,089
  5. Step 5: Solve for x
    x = 1,345,096,607,089/545,422
  6. Step 6: Final answer
    x = 2,466,157.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.