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Finding the Third Proportional to 510,736,584 and 792,453,216

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Solution

The third proportional to 510,736,584 and 792,453,216 is: 1,229,561,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,736,584 : 792,453,216 = 792,453,216 : x
  2. Step 2: Convert to fraction form
    510,736,584/792,453,216 = 792,453,216/x
  3. Step 3: Cross multiply
    510,736,584x = 792,453,216 × 792,453,216
  4. Step 4: Simplify right side
    510,736,584x = 627,982,099,548,742,656
  5. Step 5: Solve for x
    x = 627,982,099,548,742,656/510,736,584
  6. Step 6: Final answer
    x = 1,229,561,615.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.