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Finding the Third Proportional to 500,264,284 and 1,086,646,229

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Solution

The third proportional to 500,264,284 and 1,086,646,229 is: 2,360,352,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,264,284 : 1,086,646,229 = 1,086,646,229 : x
  2. Step 2: Convert to fraction form
    500,264,284/1,086,646,229 = 1,086,646,229/x
  3. Step 3: Cross multiply
    500,264,284x = 1,086,646,229 × 1,086,646,229
  4. Step 4: Simplify right side
    500,264,284x = 1,180,800,026,999,920,384
  5. Step 5: Solve for x
    x = 1,180,800,026,999,920,384/500,264,284
  6. Step 6: Final answer
    x = 2,360,352,447.23

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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.