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Finding the Third Proportional to 907,410 and 1,392,840

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Solution

The third proportional to 907,410 and 1,392,840 is: 2,137,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,410 : 1,392,840 = 1,392,840 : x
  2. Step 2: Convert to fraction form
    907,410/1,392,840 = 1,392,840/x
  3. Step 3: Cross multiply
    907,410x = 1,392,840 × 1,392,840
  4. Step 4: Simplify right side
    907,410x = 1,940,003,265,600
  5. Step 5: Solve for x
    x = 1,940,003,265,600/907,410
  6. Step 6: Final answer
    x = 2,137,956.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.