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Finding the Third Proportional to 1,285,759,394 and 2,790,708,604

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Solution

The third proportional to 1,285,759,394 and 2,790,708,604 is: 6,057,163,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,759,394 : 2,790,708,604 = 2,790,708,604 : x
  2. Step 2: Convert to fraction form
    1,285,759,394/2,790,708,604 = 2,790,708,604/x
  3. Step 3: Cross multiply
    1,285,759,394x = 2,790,708,604 × 2,790,708,604
  4. Step 4: Simplify right side
    1,285,759,394x = 7,788,054,512,439,628,800
  5. Step 5: Solve for x
    x = 7,788,054,512,439,628,800/1,285,759,394
  6. Step 6: Final answer
    x = 6,057,163,221.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.