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Finding the Third Proportional to 1,473,840 and 3,173,184

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Solution

The third proportional to 1,473,840 and 3,173,184 is: 6,831,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,840 : 3,173,184 = 3,173,184 : x
  2. Step 2: Convert to fraction form
    1,473,840/3,173,184 = 3,173,184/x
  3. Step 3: Cross multiply
    1,473,840x = 3,173,184 × 3,173,184
  4. Step 4: Simplify right side
    1,473,840x = 10,069,096,697,856
  5. Step 5: Solve for x
    x = 10,069,096,697,856/1,473,840
  6. Step 6: Final answer
    x = 6,831,879.10

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