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Finding the Third Proportional to 429,835,275 and 920,970,999

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Solution

The third proportional to 429,835,275 and 920,970,999 is: 1,973,285,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,835,275 : 920,970,999 = 920,970,999 : x
  2. Step 2: Convert to fraction form
    429,835,275/920,970,999 = 920,970,999/x
  3. Step 3: Cross multiply
    429,835,275x = 920,970,999 × 920,970,999
  4. Step 4: Simplify right side
    429,835,275x = 848,187,580,999,058,048
  5. Step 5: Solve for x
    x = 848,187,580,999,058,048/429,835,275
  6. Step 6: Final answer
    x = 1,973,285,186.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.