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Finding the Third Proportional to 1,170,214,698 and 1,604,648,682

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Solution

The third proportional to 1,170,214,698 and 1,604,648,682 is: 2,200,363,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,214,698 : 1,604,648,682 = 1,604,648,682 : x
  2. Step 2: Convert to fraction form
    1,170,214,698/1,604,648,682 = 1,604,648,682/x
  3. Step 3: Cross multiply
    1,170,214,698x = 1,604,648,682 × 1,604,648,682
  4. Step 4: Simplify right side
    1,170,214,698x = 2,574,897,392,644,337,152
  5. Step 5: Solve for x
    x = 2,574,897,392,644,337,152/1,170,214,698
  6. Step 6: Final answer
    x = 2,200,363,229.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.