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Finding the Third Proportional to 797,582 and 1,225,936

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Solution

The third proportional to 797,582 and 1,225,936 is: 1,884,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,582 : 1,225,936 = 1,225,936 : x
  2. Step 2: Convert to fraction form
    797,582/1,225,936 = 1,225,936/x
  3. Step 3: Cross multiply
    797,582x = 1,225,936 × 1,225,936
  4. Step 4: Simplify right side
    797,582x = 1,502,919,076,096
  5. Step 5: Solve for x
    x = 1,502,919,076,096/797,582
  6. Step 6: Final answer
    x = 1,884,344.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.