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Finding the Third Proportional to 487,516,806 and 1,054,550,745

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Solution

The third proportional to 487,516,806 and 1,054,550,745 is: 2,281,105,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,516,806 : 1,054,550,745 = 1,054,550,745 : x
  2. Step 2: Convert to fraction form
    487,516,806/1,054,550,745 = 1,054,550,745/x
  3. Step 3: Cross multiply
    487,516,806x = 1,054,550,745 × 1,054,550,745
  4. Step 4: Simplify right side
    487,516,806x = 1,112,077,273,780,055,040
  5. Step 5: Solve for x
    x = 1,112,077,273,780,055,040/487,516,806
  6. Step 6: Final answer
    x = 2,281,105,512.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.