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Finding the Third Proportional to 1,698,125 and 2,569,028

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Solution

The third proportional to 1,698,125 and 2,569,028 is: 3,886,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,125 : 2,569,028 = 2,569,028 : x
  2. Step 2: Convert to fraction form
    1,698,125/2,569,028 = 2,569,028/x
  3. Step 3: Cross multiply
    1,698,125x = 2,569,028 × 2,569,028
  4. Step 4: Simplify right side
    1,698,125x = 6,599,904,864,784
  5. Step 5: Solve for x
    x = 6,599,904,864,784/1,698,125
  6. Step 6: Final answer
    x = 3,886,583.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.