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Finding the Third Proportional to 590,366,945 and 1,366,735,687

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Solution

The third proportional to 590,366,945 and 1,366,735,687 is: 3,164,076,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,366,945 : 1,366,735,687 = 1,366,735,687 : x
  2. Step 2: Convert to fraction form
    590,366,945/1,366,735,687 = 1,366,735,687/x
  3. Step 3: Cross multiply
    590,366,945x = 1,366,735,687 × 1,366,735,687
  4. Step 4: Simplify right side
    590,366,945x = 1,867,966,438,119,362,048
  5. Step 5: Solve for x
    x = 1,867,966,438,119,362,048/590,366,945
  6. Step 6: Final answer
    x = 3,164,076,942.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.