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Finding the Third Proportional to 846,589,548 and 1,822,917,120

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Solution

The third proportional to 846,589,548 and 1,822,917,120 is: 3,925,192,360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,589,548 : 1,822,917,120 = 1,822,917,120 : x
  2. Step 2: Convert to fraction form
    846,589,548/1,822,917,120 = 1,822,917,120/x
  3. Step 3: Cross multiply
    846,589,548x = 1,822,917,120 × 1,822,917,120
  4. Step 4: Simplify right side
    846,589,548x = 3,323,026,826,389,094,400
  5. Step 5: Solve for x
    x = 3,323,026,826,389,094,400/846,589,548
  6. Step 6: Final answer
    x = 3,925,192,360.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.