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Finding the Third Proportional to 1,724,679.84 and 3,628,124.16

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Solution

The third proportional to 1,724,679.84 and 3,628,124.16 is: 7,632,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,679.84 : 3,628,124.16 = 3,628,124.16 : x
  2. Step 2: Convert to fraction form
    1,724,679.84/3,628,124.16 = 3,628,124.16/x
  3. Step 3: Cross multiply
    1,724,679.84x = 3,628,124.16 × 3,628,124.16
  4. Step 4: Simplify right side
    1,724,679.84x = 13,163,284,893,164.77
  5. Step 5: Solve for x
    x = 13,163,284,893,164.77/1,724,679.84
  6. Step 6: Final answer
    x = 7,632,306.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.