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Finding the Third Proportional to 698,624 and 1,052,004

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Solution

The third proportional to 698,624 and 1,052,004 is: 1,584,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,624 : 1,052,004 = 1,052,004 : x
  2. Step 2: Convert to fraction form
    698,624/1,052,004 = 1,052,004/x
  3. Step 3: Cross multiply
    698,624x = 1,052,004 × 1,052,004
  4. Step 4: Simplify right side
    698,624x = 1,106,712,416,016
  5. Step 5: Solve for x
    x = 1,106,712,416,016/698,624
  6. Step 6: Final answer
    x = 1,584,131.69

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