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Finding the Third Proportional to 403,827,698 and 878,409,706

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Solution

The third proportional to 403,827,698 and 878,409,706 is: 1,910,724,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,827,698 : 878,409,706 = 878,409,706 : x
  2. Step 2: Convert to fraction form
    403,827,698/878,409,706 = 878,409,706/x
  3. Step 3: Cross multiply
    403,827,698x = 878,409,706 × 878,409,706
  4. Step 4: Simplify right side
    403,827,698x = 771,603,611,595,006,464
  5. Step 5: Solve for x
    x = 771,603,611,595,006,464/403,827,698
  6. Step 6: Final answer
    x = 1,910,724,834.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.