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Finding the Third Proportional to 896,059,260 and 1,405,651,308

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Solution

The third proportional to 896,059,260 and 1,405,651,308 is: 2,205,050,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,059,260 : 1,405,651,308 = 1,405,651,308 : x
  2. Step 2: Convert to fraction form
    896,059,260/1,405,651,308 = 1,405,651,308/x
  3. Step 3: Cross multiply
    896,059,260x = 1,405,651,308 × 1,405,651,308
  4. Step 4: Simplify right side
    896,059,260x = 1,975,855,599,682,110,976
  5. Step 5: Solve for x
    x = 1,975,855,599,682,110,976/896,059,260
  6. Step 6: Final answer
    x = 2,205,050,143.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.