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Finding the Third Proportional to 612,526,284 and 941,496,804

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Solution

The third proportional to 612,526,284 and 941,496,804 is: 1,447,148,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,526,284 : 941,496,804 = 941,496,804 : x
  2. Step 2: Convert to fraction form
    612,526,284/941,496,804 = 941,496,804/x
  3. Step 3: Cross multiply
    612,526,284x = 941,496,804 × 941,496,804
  4. Step 4: Simplify right side
    612,526,284x = 886,416,231,942,214,400
  5. Step 5: Solve for x
    x = 886,416,231,942,214,400/612,526,284
  6. Step 6: Final answer
    x = 1,447,148,073.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.