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Finding the Third Proportional to 698,622 and 1,052,001

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Solution

The third proportional to 698,622 and 1,052,001 is: 1,584,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,622 : 1,052,001 = 1,052,001 : x
  2. Step 2: Convert to fraction form
    698,622/1,052,001 = 1,052,001/x
  3. Step 3: Cross multiply
    698,622x = 1,052,001 × 1,052,001
  4. Step 4: Simplify right side
    698,622x = 1,106,706,104,001
  5. Step 5: Solve for x
    x = 1,106,706,104,001/698,622
  6. Step 6: Final answer
    x = 1,584,127.19

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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.