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Finding the Third Proportional to 867,386,962 and 1,321,408,074

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Solution

The third proportional to 867,386,962 and 1,321,408,074 is: 2,013,079,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,386,962 : 1,321,408,074 = 1,321,408,074 : x
  2. Step 2: Convert to fraction form
    867,386,962/1,321,408,074 = 1,321,408,074/x
  3. Step 3: Cross multiply
    867,386,962x = 1,321,408,074 × 1,321,408,074
  4. Step 4: Simplify right side
    867,386,962x = 1,746,119,298,032,389,376
  5. Step 5: Solve for x
    x = 1,746,119,298,032,389,376/867,386,962
  6. Step 6: Final answer
    x = 2,013,079,945.32

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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.