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Finding the Third Proportional to 580,452 and 896,946

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Solution

The third proportional to 580,452 and 896,946 is: 1,386,009.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,452 : 896,946 = 896,946 : x
  2. Step 2: Convert to fraction form
    580,452/896,946 = 896,946/x
  3. Step 3: Cross multiply
    580,452x = 896,946 × 896,946
  4. Step 4: Simplify right side
    580,452x = 804,512,126,916
  5. Step 5: Solve for x
    x = 804,512,126,916/580,452
  6. Step 6: Final answer
    x = 1,386,009.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.