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Finding the Third Proportional to 486,589,688 and 1,007,670,556

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Solution

The third proportional to 486,589,688 and 1,007,670,556 is: 2,086,768,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,589,688 : 1,007,670,556 = 1,007,670,556 : x
  2. Step 2: Convert to fraction form
    486,589,688/1,007,670,556 = 1,007,670,556/x
  3. Step 3: Cross multiply
    486,589,688x = 1,007,670,556 × 1,007,670,556
  4. Step 4: Simplify right side
    486,589,688x = 1,015,399,949,429,349,120
  5. Step 5: Solve for x
    x = 1,015,399,949,429,349,120/486,589,688
  6. Step 6: Final answer
    x = 2,086,768,327.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.