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Finding the Third Proportional to 1,051,029,766 and 1,478,203,044

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Solution

The third proportional to 1,051,029,766 and 1,478,203,044 is: 2,078,993,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,029,766 : 1,478,203,044 = 1,478,203,044 : x
  2. Step 2: Convert to fraction form
    1,051,029,766/1,478,203,044 = 1,478,203,044/x
  3. Step 3: Cross multiply
    1,051,029,766x = 1,478,203,044 × 1,478,203,044
  4. Step 4: Simplify right side
    1,051,029,766x = 2,185,084,239,290,865,920
  5. Step 5: Solve for x
    x = 2,185,084,239,290,865,920/1,051,029,766
  6. Step 6: Final answer
    x = 2,078,993,678.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.