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Finding the Third Proportional to 878,620,716 and 1,926,042,840

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Solution

The third proportional to 878,620,716 and 1,926,042,840 is: 4,222,118,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,620,716 : 1,926,042,840 = 1,926,042,840 : x
  2. Step 2: Convert to fraction form
    878,620,716/1,926,042,840 = 1,926,042,840/x
  3. Step 3: Cross multiply
    878,620,716x = 1,926,042,840 × 1,926,042,840
  4. Step 4: Simplify right side
    878,620,716x = 3,709,641,021,515,265,536
  5. Step 5: Solve for x
    x = 3,709,641,021,515,265,536/878,620,716
  6. Step 6: Final answer
    x = 4,222,118,775.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.