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Finding the Third Proportional to 1,564,480 and 3,297,096

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Solution

The third proportional to 1,564,480 and 3,297,096 is: 6,948,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,480 : 3,297,096 = 3,297,096 : x
  2. Step 2: Convert to fraction form
    1,564,480/3,297,096 = 3,297,096/x
  3. Step 3: Cross multiply
    1,564,480x = 3,297,096 × 3,297,096
  4. Step 4: Simplify right side
    1,564,480x = 10,870,842,033,216
  5. Step 5: Solve for x
    x = 10,870,842,033,216/1,564,480
  6. Step 6: Final answer
    x = 6,948,533.72

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.