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Finding the Third Proportional to 594,228,711 and 1,303,248,555

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Solution

The third proportional to 594,228,711 and 1,303,248,555 is: 2,858,254,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,228,711 : 1,303,248,555 = 1,303,248,555 : x
  2. Step 2: Convert to fraction form
    594,228,711/1,303,248,555 = 1,303,248,555/x
  3. Step 3: Cross multiply
    594,228,711x = 1,303,248,555 × 1,303,248,555
  4. Step 4: Simplify right side
    594,228,711x = 1,698,456,796,109,587,968
  5. Step 5: Solve for x
    x = 1,698,456,796,109,587,968/594,228,711
  6. Step 6: Final answer
    x = 2,858,254,346.63

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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.