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Finding the Third Proportional to 1,724,002 and 3,658,148

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Solution

The third proportional to 1,724,002 and 3,658,148 is: 7,762,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,002 : 3,658,148 = 3,658,148 : x
  2. Step 2: Convert to fraction form
    1,724,002/3,658,148 = 3,658,148/x
  3. Step 3: Cross multiply
    1,724,002x = 3,658,148 × 3,658,148
  4. Step 4: Simplify right side
    1,724,002x = 13,382,046,789,904
  5. Step 5: Solve for x
    x = 13,382,046,789,904/1,724,002
  6. Step 6: Final answer
    x = 7,762,199.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.