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Finding the Third Proportional to 1,477,536 and 3,188,352

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Solution

The third proportional to 1,477,536 and 3,188,352 is: 6,880,095.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,536 : 3,188,352 = 3,188,352 : x
  2. Step 2: Convert to fraction form
    1,477,536/3,188,352 = 3,188,352/x
  3. Step 3: Cross multiply
    1,477,536x = 3,188,352 × 3,188,352
  4. Step 4: Simplify right side
    1,477,536x = 10,165,588,475,904
  5. Step 5: Solve for x
    x = 10,165,588,475,904/1,477,536
  6. Step 6: Final answer
    x = 6,880,095.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.