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Finding the Third Proportional to 878,119,546 and 1,734,030,827

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Solution

The third proportional to 878,119,546 and 1,734,030,827 is: 3,424,206,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,119,546 : 1,734,030,827 = 1,734,030,827 : x
  2. Step 2: Convert to fraction form
    878,119,546/1,734,030,827 = 1,734,030,827/x
  3. Step 3: Cross multiply
    878,119,546x = 1,734,030,827 × 1,734,030,827
  4. Step 4: Simplify right side
    878,119,546x = 3,006,862,908,986,304,000
  5. Step 5: Solve for x
    x = 3,006,862,908,986,304,000/878,119,546
  6. Step 6: Final answer
    x = 3,424,206,786.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.