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Finding the Third Proportional to 692,409 and 1,095,477

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Solution

The third proportional to 692,409 and 1,095,477 is: 1,733,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,409 : 1,095,477 = 1,095,477 : x
  2. Step 2: Convert to fraction form
    692,409/1,095,477 = 1,095,477/x
  3. Step 3: Cross multiply
    692,409x = 1,095,477 × 1,095,477
  4. Step 4: Simplify right side
    692,409x = 1,200,069,857,529
  5. Step 5: Solve for x
    x = 1,200,069,857,529/692,409
  6. Step 6: Final answer
    x = 1,733,180.62

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.