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Finding the Third Proportional to 1,737,840 and 3,784,621

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Solution

The third proportional to 1,737,840 and 3,784,621 is: 8,242,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,840 : 3,784,621 = 3,784,621 : x
  2. Step 2: Convert to fraction form
    1,737,840/3,784,621 = 3,784,621/x
  3. Step 3: Cross multiply
    1,737,840x = 3,784,621 × 3,784,621
  4. Step 4: Simplify right side
    1,737,840x = 14,323,356,113,641
  5. Step 5: Solve for x
    x = 14,323,356,113,641/1,737,840
  6. Step 6: Final answer
    x = 8,242,045.36

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Why These Related Problems?

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