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Finding the Third Proportional to 570,322,810 and 1,222,498,460

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Solution

The third proportional to 570,322,810 and 1,222,498,460 is: 2,620,450,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,322,810 : 1,222,498,460 = 1,222,498,460 : x
  2. Step 2: Convert to fraction form
    570,322,810/1,222,498,460 = 1,222,498,460/x
  3. Step 3: Cross multiply
    570,322,810x = 1,222,498,460 × 1,222,498,460
  4. Step 4: Simplify right side
    570,322,810x = 1,494,502,484,702,371,584
  5. Step 5: Solve for x
    x = 1,494,502,484,702,371,584/570,322,810
  6. Step 6: Final answer
    x = 2,620,450,135.43

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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.