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Finding the Third Proportional to 720,583,462 and 1,573,296,714

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Solution

The third proportional to 720,583,462 and 1,573,296,714 is: 3,435,080,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,583,462 : 1,573,296,714 = 1,573,296,714 : x
  2. Step 2: Convert to fraction form
    720,583,462/1,573,296,714 = 1,573,296,714/x
  3. Step 3: Cross multiply
    720,583,462x = 1,573,296,714 × 1,573,296,714
  4. Step 4: Simplify right side
    720,583,462x = 2,475,262,550,283,197,952
  5. Step 5: Solve for x
    x = 2,475,262,550,283,197,952/720,583,462
  6. Step 6: Final answer
    x = 3,435,080,987.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.