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Finding the Third Proportional to 460,497,838 and 939,493,844

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Solution

The third proportional to 460,497,838 and 939,493,844 is: 1,916,727,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,497,838 : 939,493,844 = 939,493,844 : x
  2. Step 2: Convert to fraction form
    460,497,838/939,493,844 = 939,493,844/x
  3. Step 3: Cross multiply
    460,497,838x = 939,493,844 × 939,493,844
  4. Step 4: Simplify right side
    460,497,838x = 882,648,682,913,896,320
  5. Step 5: Solve for x
    x = 882,648,682,913,896,320/460,497,838
  6. Step 6: Final answer
    x = 1,916,727,094.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.