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Finding the Third Proportional to 879,684,704 and 1,290,769,941

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Solution

The third proportional to 879,684,704 and 1,290,769,941 is: 1,893,959,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,684,704 : 1,290,769,941 = 1,290,769,941 : x
  2. Step 2: Convert to fraction form
    879,684,704/1,290,769,941 = 1,290,769,941/x
  3. Step 3: Cross multiply
    879,684,704x = 1,290,769,941 × 1,290,769,941
  4. Step 4: Simplify right side
    879,684,704x = 1,666,087,040,589,143,552
  5. Step 5: Solve for x
    x = 1,666,087,040,589,143,552/879,684,704
  6. Step 6: Final answer
    x = 1,893,959,316.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.