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Finding the Third Proportional to 590,589,158 and 1,292,344,984

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Solution

The third proportional to 590,589,158 and 1,292,344,984 is: 2,827,948,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,589,158 : 1,292,344,984 = 1,292,344,984 : x
  2. Step 2: Convert to fraction form
    590,589,158/1,292,344,984 = 1,292,344,984/x
  3. Step 3: Cross multiply
    590,589,158x = 1,292,344,984 × 1,292,344,984
  4. Step 4: Simplify right side
    590,589,158x = 1,670,155,557,669,960,192
  5. Step 5: Solve for x
    x = 1,670,155,557,669,960,192/590,589,158
  6. Step 6: Final answer
    x = 2,827,948,219.24

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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.