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Finding the Third Proportional to 413,893,826 and 649,277,576

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Solution

The third proportional to 413,893,826 and 649,277,576 is: 1,018,525,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,893,826 : 649,277,576 = 649,277,576 : x
  2. Step 2: Convert to fraction form
    413,893,826/649,277,576 = 649,277,576/x
  3. Step 3: Cross multiply
    413,893,826x = 649,277,576 × 649,277,576
  4. Step 4: Simplify right side
    413,893,826x = 421,561,370,696,435,776
  5. Step 5: Solve for x
    x = 421,561,370,696,435,776/413,893,826
  6. Step 6: Final answer
    x = 1,018,525,390.37

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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.