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Finding the Third Proportional to 570,322,805 and 1,222,498,450

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Solution

The third proportional to 570,322,805 and 1,222,498,450 is: 2,620,450,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,322,805 : 1,222,498,450 = 1,222,498,450 : x
  2. Step 2: Convert to fraction form
    570,322,805/1,222,498,450 = 1,222,498,450/x
  3. Step 3: Cross multiply
    570,322,805x = 1,222,498,450 × 1,222,498,450
  4. Step 4: Simplify right side
    570,322,805x = 1,494,502,460,252,402,432
  5. Step 5: Solve for x
    x = 1,494,502,460,252,402,432/570,322,805
  6. Step 6: Final answer
    x = 2,620,450,115.53

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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.