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Finding the Third Proportional to 2,174,384 and 3,197,664

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Solution

The third proportional to 2,174,384 and 3,197,664 is: 4,702,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174,384 : 3,197,664 = 3,197,664 : x
  2. Step 2: Convert to fraction form
    2,174,384/3,197,664 = 3,197,664/x
  3. Step 3: Cross multiply
    2,174,384x = 3,197,664 × 3,197,664
  4. Step 4: Simplify right side
    2,174,384x = 10,225,055,056,896
  5. Step 5: Solve for x
    x = 10,225,055,056,896/2,174,384
  6. Step 6: Final answer
    x = 4,702,506.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.