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Finding the Third Proportional to 612,620,680 and 1,311,354,704

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Solution

The third proportional to 612,620,680 and 1,311,354,704 is: 2,807,040,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,620,680 : 1,311,354,704 = 1,311,354,704 : x
  2. Step 2: Convert to fraction form
    612,620,680/1,311,354,704 = 1,311,354,704/x
  3. Step 3: Cross multiply
    612,620,680x = 1,311,354,704 × 1,311,354,704
  4. Step 4: Simplify right side
    612,620,680x = 1,719,651,159,702,927,616
  5. Step 5: Solve for x
    x = 1,719,651,159,702,927,616/612,620,680
  6. Step 6: Final answer
    x = 2,807,040,662.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.