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Finding the Third Proportional to 916,072 and 1,967,792

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Solution

The third proportional to 916,072 and 1,967,792 is: 4,226,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,072 : 1,967,792 = 1,967,792 : x
  2. Step 2: Convert to fraction form
    916,072/1,967,792 = 1,967,792/x
  3. Step 3: Cross multiply
    916,072x = 1,967,792 × 1,967,792
  4. Step 4: Simplify right side
    916,072x = 3,872,205,355,264
  5. Step 5: Solve for x
    x = 3,872,205,355,264/916,072
  6. Step 6: Final answer
    x = 4,226,966.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.