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Finding the Third Proportional to 1,258,560,194 and 1,905,311,523

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Solution

The third proportional to 1,258,560,194 and 1,905,311,523 is: 2,884,416,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,560,194 : 1,905,311,523 = 1,905,311,523 : x
  2. Step 2: Convert to fraction form
    1,258,560,194/1,905,311,523 = 1,905,311,523/x
  3. Step 3: Cross multiply
    1,258,560,194x = 1,905,311,523 × 1,905,311,523
  4. Step 4: Simplify right side
    1,258,560,194x = 3,630,211,999,676,579,328
  5. Step 5: Solve for x
    x = 3,630,211,999,676,579,328/1,258,560,194
  6. Step 6: Final answer
    x = 2,884,416,666.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.