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Finding the Third Proportional to 1,470,980 and 3,174,296

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Solution

The third proportional to 1,470,980 and 3,174,296 is: 6,849,960.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470,980 : 3,174,296 = 3,174,296 : x
  2. Step 2: Convert to fraction form
    1,470,980/3,174,296 = 3,174,296/x
  3. Step 3: Cross multiply
    1,470,980x = 3,174,296 × 3,174,296
  4. Step 4: Simplify right side
    1,470,980x = 10,076,155,095,616
  5. Step 5: Solve for x
    x = 10,076,155,095,616/1,470,980
  6. Step 6: Final answer
    x = 6,849,960.64

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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.