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Finding the Third Proportional to 1,684,823.63 and 3,684,574.41

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Solution

The third proportional to 1,684,823.63 and 3,684,574.41 is: 8,057,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,823.63 : 3,684,574.41 = 3,684,574.41 : x
  2. Step 2: Convert to fraction form
    1,684,823.63/3,684,574.41 = 3,684,574.41/x
  3. Step 3: Cross multiply
    1,684,823.63x = 3,684,574.41 × 3,684,574.41
  4. Step 4: Simplify right side
    1,684,823.63x = 13,576,088,555,192.54
  5. Step 5: Solve for x
    x = 13,576,088,555,192.54/1,684,823.63
  6. Step 6: Final answer
    x = 8,057,869.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.