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Finding the Third Proportional to 1,263,887,928 and 1,677,044,412

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Solution

The third proportional to 1,263,887,928 and 1,677,044,412 is: 2,225,258,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,887,928 : 1,677,044,412 = 1,677,044,412 : x
  2. Step 2: Convert to fraction form
    1,263,887,928/1,677,044,412 = 1,677,044,412/x
  3. Step 3: Cross multiply
    1,263,887,928x = 1,677,044,412 × 1,677,044,412
  4. Step 4: Simplify right side
    1,263,887,928x = 2,812,477,959,820,425,728
  5. Step 5: Solve for x
    x = 2,812,477,959,820,425,728/1,263,887,928
  6. Step 6: Final answer
    x = 2,225,258,978.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.