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Finding the Third Proportional to 1,746,064 and 3,859,216

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Solution

The third proportional to 1,746,064 and 3,859,216 is: 8,529,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,064 : 3,859,216 = 3,859,216 : x
  2. Step 2: Convert to fraction form
    1,746,064/3,859,216 = 3,859,216/x
  3. Step 3: Cross multiply
    1,746,064x = 3,859,216 × 3,859,216
  4. Step 4: Simplify right side
    1,746,064x = 14,893,548,134,656
  5. Step 5: Solve for x
    x = 14,893,548,134,656/1,746,064
  6. Step 6: Final answer
    x = 8,529,783.64

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.