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Finding the Third Proportional to 569,820 and 845,946

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Solution

The third proportional to 569,820 and 845,946 is: 1,255,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,820 : 845,946 = 845,946 : x
  2. Step 2: Convert to fraction form
    569,820/845,946 = 845,946/x
  3. Step 3: Cross multiply
    569,820x = 845,946 × 845,946
  4. Step 4: Simplify right side
    569,820x = 715,624,634,916
  5. Step 5: Solve for x
    x = 715,624,634,916/569,820
  6. Step 6: Final answer
    x = 1,255,878.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.