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Finding the Third Proportional to 741,556,564 and 1,121,878,912

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Solution

The third proportional to 741,556,564 and 1,121,878,912 is: 1,697,257,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,556,564 : 1,121,878,912 = 1,121,878,912 : x
  2. Step 2: Convert to fraction form
    741,556,564/1,121,878,912 = 1,121,878,912/x
  3. Step 3: Cross multiply
    741,556,564x = 1,121,878,912 × 1,121,878,912
  4. Step 4: Simplify right side
    741,556,564x = 1,258,612,293,190,303,744
  5. Step 5: Solve for x
    x = 1,258,612,293,190,303,744/741,556,564
  6. Step 6: Final answer
    x = 1,697,257,302.13

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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.