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Finding the Third Proportional to 902,123,898 and 1,435,470,630

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Solution

The third proportional to 902,123,898 and 1,435,470,630 is: 2,284,138,502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,123,898 : 1,435,470,630 = 1,435,470,630 : x
  2. Step 2: Convert to fraction form
    902,123,898/1,435,470,630 = 1,435,470,630/x
  3. Step 3: Cross multiply
    902,123,898x = 1,435,470,630 × 1,435,470,630
  4. Step 4: Simplify right side
    902,123,898x = 2,060,575,929,592,596,992
  5. Step 5: Solve for x
    x = 2,060,575,929,592,596,992/902,123,898
  6. Step 6: Final answer
    x = 2,284,138,502.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.