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Finding the Third Proportional to 384,946.17 and 837,621

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Solution

The third proportional to 384,946.17 and 837,621 is: 1,822,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,946.17 : 837,621 = 837,621 : x
  2. Step 2: Convert to fraction form
    384,946.17/837,621 = 837,621/x
  3. Step 3: Cross multiply
    384,946.17x = 837,621 × 837,621
  4. Step 4: Simplify right side
    384,946.17x = 701,608,939,641
  5. Step 5: Solve for x
    x = 701,608,939,641/384,946.17
  6. Step 6: Final answer
    x = 1,822,615.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.