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Finding the Third Proportional to 468,048,584 and 1,008,023,440

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Solution

The third proportional to 468,048,584 and 1,008,023,440 is: 2,170,952,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,048,584 : 1,008,023,440 = 1,008,023,440 : x
  2. Step 2: Convert to fraction form
    468,048,584/1,008,023,440 = 1,008,023,440/x
  3. Step 3: Cross multiply
    468,048,584x = 1,008,023,440 × 1,008,023,440
  4. Step 4: Simplify right side
    468,048,584x = 1,016,111,255,589,433,600
  5. Step 5: Solve for x
    x = 1,016,111,255,589,433,600/468,048,584
  6. Step 6: Final answer
    x = 2,170,952,525.71

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