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Finding the Third Proportional to 860,075,846 and 1,328,134,959

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Solution

The third proportional to 860,075,846 and 1,328,134,959 is: 2,050,915,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,075,846 : 1,328,134,959 = 1,328,134,959 : x
  2. Step 2: Convert to fraction form
    860,075,846/1,328,134,959 = 1,328,134,959/x
  3. Step 3: Cross multiply
    860,075,846x = 1,328,134,959 × 1,328,134,959
  4. Step 4: Simplify right side
    860,075,846x = 1,763,942,469,317,931,776
  5. Step 5: Solve for x
    x = 1,763,942,469,317,931,776/860,075,846
  6. Step 6: Final answer
    x = 2,050,915,018.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.