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Finding the Third Proportional to 492,623 and 1,066,211

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Solution

The third proportional to 492,623 and 1,066,211 is: 2,307,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,623 : 1,066,211 = 1,066,211 : x
  2. Step 2: Convert to fraction form
    492,623/1,066,211 = 1,066,211/x
  3. Step 3: Cross multiply
    492,623x = 1,066,211 × 1,066,211
  4. Step 4: Simplify right side
    492,623x = 1,136,805,896,521
  5. Step 5: Solve for x
    x = 1,136,805,896,521/492,623
  6. Step 6: Final answer
    x = 2,307,658.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.