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Finding the Third Proportional to 564,555,420 and 1,222,922,480

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Solution

The third proportional to 564,555,420 and 1,222,922,480 is: 2,649,056,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,555,420 : 1,222,922,480 = 1,222,922,480 : x
  2. Step 2: Convert to fraction form
    564,555,420/1,222,922,480 = 1,222,922,480/x
  3. Step 3: Cross multiply
    564,555,420x = 1,222,922,480 × 1,222,922,480
  4. Step 4: Simplify right side
    564,555,420x = 1,495,539,392,089,350,400
  5. Step 5: Solve for x
    x = 1,495,539,392,089,350,400/564,555,420
  6. Step 6: Final answer
    x = 2,649,056,831.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.