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Finding the Third Proportional to 816,426,290.25 and 1,260,738,054

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Solution

The third proportional to 816,426,290.25 and 1,260,738,054 is: 1,946,851,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,426,290.25 : 1,260,738,054 = 1,260,738,054 : x
  2. Step 2: Convert to fraction form
    816,426,290.25/1,260,738,054 = 1,260,738,054/x
  3. Step 3: Cross multiply
    816,426,290.25x = 1,260,738,054 × 1,260,738,054
  4. Step 4: Simplify right side
    816,426,290.25x = 1,589,460,440,803,706,880
  5. Step 5: Solve for x
    x = 1,589,460,440,803,706,880/816,426,290.25
  6. Step 6: Final answer
    x = 1,946,851,123.96

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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.