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Finding the Third Proportional to 870,824,682 and 1,880,178,804

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Solution

The third proportional to 870,824,682 and 1,880,178,804 is: 4,059,453,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,824,682 : 1,880,178,804 = 1,880,178,804 : x
  2. Step 2: Convert to fraction form
    870,824,682/1,880,178,804 = 1,880,178,804/x
  3. Step 3: Cross multiply
    870,824,682x = 1,880,178,804 × 1,880,178,804
  4. Step 4: Simplify right side
    870,824,682x = 3,535,072,335,010,870,272
  5. Step 5: Solve for x
    x = 3,535,072,335,010,870,272/870,824,682
  6. Step 6: Final answer
    x = 4,059,453,536.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.