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Finding the Third Proportional to 341,471,715 and 734,733,921

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Solution

The third proportional to 341,471,715 and 734,733,921 is: 1,580,903,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,471,715 : 734,733,921 = 734,733,921 : x
  2. Step 2: Convert to fraction form
    341,471,715/734,733,921 = 734,733,921/x
  3. Step 3: Cross multiply
    341,471,715x = 734,733,921 × 734,733,921
  4. Step 4: Simplify right side
    341,471,715x = 539,833,934,668,034,240
  5. Step 5: Solve for x
    x = 539,833,934,668,034,240/341,471,715
  6. Step 6: Final answer
    x = 1,580,903,808.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.