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Finding the Third Proportional to 724,186 and 1,095,598

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Solution

The third proportional to 724,186 and 1,095,598 is: 1,657,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,186 : 1,095,598 = 1,095,598 : x
  2. Step 2: Convert to fraction form
    724,186/1,095,598 = 1,095,598/x
  3. Step 3: Cross multiply
    724,186x = 1,095,598 × 1,095,598
  4. Step 4: Simplify right side
    724,186x = 1,200,334,977,604
  5. Step 5: Solve for x
    x = 1,200,334,977,604/724,186
  6. Step 6: Final answer
    x = 1,657,495.42

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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.