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Finding the Third Proportional to 829,124 and 1,785,095

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Solution

The third proportional to 829,124 and 1,785,095 is: 3,843,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,124 : 1,785,095 = 1,785,095 : x
  2. Step 2: Convert to fraction form
    829,124/1,785,095 = 1,785,095/x
  3. Step 3: Cross multiply
    829,124x = 1,785,095 × 1,785,095
  4. Step 4: Simplify right side
    829,124x = 3,186,564,159,025
  5. Step 5: Solve for x
    x = 3,186,564,159,025/829,124
  6. Step 6: Final answer
    x = 3,843,290.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.