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Finding the Third Proportional to 492,543 and 1,069,158

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Solution

The third proportional to 492,543 and 1,069,158 is: 2,320,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,543 : 1,069,158 = 1,069,158 : x
  2. Step 2: Convert to fraction form
    492,543/1,069,158 = 1,069,158/x
  3. Step 3: Cross multiply
    492,543x = 1,069,158 × 1,069,158
  4. Step 4: Simplify right side
    492,543x = 1,143,098,828,964
  5. Step 5: Solve for x
    x = 1,143,098,828,964/492,543
  6. Step 6: Final answer
    x = 2,320,810.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.