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Finding the Third Proportional to 697,792 and 1,506,112

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Solution

The third proportional to 697,792 and 1,506,112 is: 3,250,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,792 : 1,506,112 = 1,506,112 : x
  2. Step 2: Convert to fraction form
    697,792/1,506,112 = 1,506,112/x
  3. Step 3: Cross multiply
    697,792x = 1,506,112 × 1,506,112
  4. Step 4: Simplify right side
    697,792x = 2,268,373,356,544
  5. Step 5: Solve for x
    x = 2,268,373,356,544/697,792
  6. Step 6: Final answer
    x = 3,250,787.28

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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.