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Finding the Third Proportional to 651,330 and 1,414,056

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Solution

The third proportional to 651,330 and 1,414,056 is: 3,069,955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,330 : 1,414,056 = 1,414,056 : x
  2. Step 2: Convert to fraction form
    651,330/1,414,056 = 1,414,056/x
  3. Step 3: Cross multiply
    651,330x = 1,414,056 × 1,414,056
  4. Step 4: Simplify right side
    651,330x = 1,999,554,371,136
  5. Step 5: Solve for x
    x = 1,999,554,371,136/651,330
  6. Step 6: Final answer
    x = 3,069,955.89

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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.