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Finding the Third Proportional to 852,962,989 and 1,310,483,360

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Solution

The third proportional to 852,962,989 and 1,310,483,360 is: 2,013,412,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,962,989 : 1,310,483,360 = 1,310,483,360 : x
  2. Step 2: Convert to fraction form
    852,962,989/1,310,483,360 = 1,310,483,360/x
  3. Step 3: Cross multiply
    852,962,989x = 1,310,483,360 × 1,310,483,360
  4. Step 4: Simplify right side
    852,962,989x = 1,717,366,636,836,889,600
  5. Step 5: Solve for x
    x = 1,717,366,636,836,889,600/852,962,989
  6. Step 6: Final answer
    x = 2,013,412,843.21

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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.