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Finding the Third Proportional to 487,240,466 and 1,052,143,876

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Solution

The third proportional to 487,240,466 and 1,052,143,876 is: 2,271,992,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,240,466 : 1,052,143,876 = 1,052,143,876 : x
  2. Step 2: Convert to fraction form
    487,240,466/1,052,143,876 = 1,052,143,876/x
  3. Step 3: Cross multiply
    487,240,466x = 1,052,143,876 × 1,052,143,876
  4. Step 4: Simplify right side
    487,240,466x = 1,107,006,735,804,303,360
  5. Step 5: Solve for x
    x = 1,107,006,735,804,303,360/487,240,466
  6. Step 6: Final answer
    x = 2,271,992,605.40

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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.