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Finding the Third Proportional to 718,806,058 and 1,027,190,511

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Solution

The third proportional to 718,806,058 and 1,027,190,511 is: 1,467,879,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,806,058 : 1,027,190,511 = 1,027,190,511 : x
  2. Step 2: Convert to fraction form
    718,806,058/1,027,190,511 = 1,027,190,511/x
  3. Step 3: Cross multiply
    718,806,058x = 1,027,190,511 × 1,027,190,511
  4. Step 4: Simplify right side
    718,806,058x = 1,055,120,345,888,441,088
  5. Step 5: Solve for x
    x = 1,055,120,345,888,441,088/718,806,058
  6. Step 6: Final answer
    x = 1,467,879,039.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.