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Finding the Third Proportional to 808,616,597 and 1,242,134,100

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Solution

The third proportional to 808,616,597 and 1,242,134,100 is: 1,908,070,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,616,597 : 1,242,134,100 = 1,242,134,100 : x
  2. Step 2: Convert to fraction form
    808,616,597/1,242,134,100 = 1,242,134,100/x
  3. Step 3: Cross multiply
    808,616,597x = 1,242,134,100 × 1,242,134,100
  4. Step 4: Simplify right side
    808,616,597x = 1,542,897,122,382,810,112
  5. Step 5: Solve for x
    x = 1,542,897,122,382,810,112/808,616,597
  6. Step 6: Final answer
    x = 1,908,070,064.49

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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.