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Finding the Third Proportional to 690,098 and 1,501,696

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Solution

The third proportional to 690,098 and 1,501,696 is: 3,267,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,098 : 1,501,696 = 1,501,696 : x
  2. Step 2: Convert to fraction form
    690,098/1,501,696 = 1,501,696/x
  3. Step 3: Cross multiply
    690,098x = 1,501,696 × 1,501,696
  4. Step 4: Simplify right side
    690,098x = 2,255,090,876,416
  5. Step 5: Solve for x
    x = 2,255,090,876,416/690,098
  6. Step 6: Final answer
    x = 3,267,783.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.