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Finding the Third Proportional to 1,229,020,035 and 1,796,870,256

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Solution

The third proportional to 1,229,020,035 and 1,796,870,256 is: 2,627,087,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,020,035 : 1,796,870,256 = 1,796,870,256 : x
  2. Step 2: Convert to fraction form
    1,229,020,035/1,796,870,256 = 1,796,870,256/x
  3. Step 3: Cross multiply
    1,229,020,035x = 1,796,870,256 × 1,796,870,256
  4. Step 4: Simplify right side
    1,229,020,035x = 3,228,742,716,897,505,280
  5. Step 5: Solve for x
    x = 3,228,742,716,897,505,280/1,229,020,035
  6. Step 6: Final answer
    x = 2,627,087,130.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.