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Finding the Third Proportional to 698,085 and 1,052,946

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Solution

The third proportional to 698,085 and 1,052,946 is: 1,588,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,085 : 1,052,946 = 1,052,946 : x
  2. Step 2: Convert to fraction form
    698,085/1,052,946 = 1,052,946/x
  3. Step 3: Cross multiply
    698,085x = 1,052,946 × 1,052,946
  4. Step 4: Simplify right side
    698,085x = 1,108,695,278,916
  5. Step 5: Solve for x
    x = 1,108,695,278,916/698,085
  6. Step 6: Final answer
    x = 1,588,195.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.