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Finding the Third Proportional to 583,171,232 and 1,189,804,584

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Solution

The third proportional to 583,171,232 and 1,189,804,584 is: 2,427,477,335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,171,232 : 1,189,804,584 = 1,189,804,584 : x
  2. Step 2: Convert to fraction form
    583,171,232/1,189,804,584 = 1,189,804,584/x
  3. Step 3: Cross multiply
    583,171,232x = 1,189,804,584 × 1,189,804,584
  4. Step 4: Simplify right side
    583,171,232x = 1,415,634,948,107,412,992
  5. Step 5: Solve for x
    x = 1,415,634,948,107,412,992/583,171,232
  6. Step 6: Final answer
    x = 2,427,477,335.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.