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Finding the Third Proportional to 867,386,826 and 1,321,407,855

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Solution

The third proportional to 867,386,826 and 1,321,407,855 is: 2,013,079,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,386,826 : 1,321,407,855 = 1,321,407,855 : x
  2. Step 2: Convert to fraction form
    867,386,826/1,321,407,855 = 1,321,407,855/x
  3. Step 3: Cross multiply
    867,386,826x = 1,321,407,855 × 1,321,407,855
  4. Step 4: Simplify right side
    867,386,826x = 1,746,118,719,255,700,992
  5. Step 5: Solve for x
    x = 1,746,118,719,255,700,992/867,386,826
  6. Step 6: Final answer
    x = 2,013,079,593.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.