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Finding the Third Proportional to 707,084,485 and 1,536,570,986

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Solution

The third proportional to 707,084,485 and 1,536,570,986 is: 3,339,134,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,084,485 : 1,536,570,986 = 1,536,570,986 : x
  2. Step 2: Convert to fraction form
    707,084,485/1,536,570,986 = 1,536,570,986/x
  3. Step 3: Cross multiply
    707,084,485x = 1,536,570,986 × 1,536,570,986
  4. Step 4: Simplify right side
    707,084,485x = 2,361,050,395,017,012,224
  5. Step 5: Solve for x
    x = 2,361,050,395,017,012,224/707,084,485
  6. Step 6: Final answer
    x = 3,339,134,778.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.