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Finding the Third Proportional to 488,199,186 and 736,838,859

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Solution

The third proportional to 488,199,186 and 736,838,859 is: 1,112,110,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,199,186 : 736,838,859 = 736,838,859 : x
  2. Step 2: Convert to fraction form
    488,199,186/736,838,859 = 736,838,859/x
  3. Step 3: Cross multiply
    488,199,186x = 736,838,859 × 736,838,859
  4. Step 4: Simplify right side
    488,199,186x = 542,931,504,132,421,888
  5. Step 5: Solve for x
    x = 542,931,504,132,421,888/488,199,186
  6. Step 6: Final answer
    x = 1,112,110,629.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.