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Finding the Third Proportional to 612,817,891 and 917,055,586

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Solution

The third proportional to 612,817,891 and 917,055,586 is: 1,372,334,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,817,891 : 917,055,586 = 917,055,586 : x
  2. Step 2: Convert to fraction form
    612,817,891/917,055,586 = 917,055,586/x
  3. Step 3: Cross multiply
    612,817,891x = 917,055,586 × 917,055,586
  4. Step 4: Simplify right side
    612,817,891x = 840,990,947,813,803,392
  5. Step 5: Solve for x
    x = 840,990,947,813,803,392/612,817,891
  6. Step 6: Final answer
    x = 1,372,334,196.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.