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Finding the Third Proportional to 476,606 and 698,871

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Solution

The third proportional to 476,606 and 698,871 is: 1,024,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,606 : 698,871 = 698,871 : x
  2. Step 2: Convert to fraction form
    476,606/698,871 = 698,871/x
  3. Step 3: Cross multiply
    476,606x = 698,871 × 698,871
  4. Step 4: Simplify right side
    476,606x = 488,420,674,641
  5. Step 5: Solve for x
    x = 488,420,674,641/476,606
  6. Step 6: Final answer
    x = 1,024,789.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.