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Finding the Third Proportional to 698,024 and 1,107,086

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Solution

The third proportional to 698,024 and 1,107,086 is: 1,755,870.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,024 : 1,107,086 = 1,107,086 : x
  2. Step 2: Convert to fraction form
    698,024/1,107,086 = 1,107,086/x
  3. Step 3: Cross multiply
    698,024x = 1,107,086 × 1,107,086
  4. Step 4: Simplify right side
    698,024x = 1,225,639,411,396
  5. Step 5: Solve for x
    x = 1,225,639,411,396/698,024
  6. Step 6: Final answer
    x = 1,755,870.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.