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Finding the Third Proportional to 322,994,051 and 708,520,446

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Solution

The third proportional to 322,994,051 and 708,520,446 is: 1,554,211,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,994,051 : 708,520,446 = 708,520,446 : x
  2. Step 2: Convert to fraction form
    322,994,051/708,520,446 = 708,520,446/x
  3. Step 3: Cross multiply
    322,994,051x = 708,520,446 × 708,520,446
  4. Step 4: Simplify right side
    322,994,051x = 502,001,222,400,038,912
  5. Step 5: Solve for x
    x = 502,001,222,400,038,912/322,994,051
  6. Step 6: Final answer
    x = 1,554,211,976.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.