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Finding the Third Proportional to 413,893,816 and 649,277,560

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Solution

The third proportional to 413,893,816 and 649,277,560 is: 1,018,525,364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,893,816 : 649,277,560 = 649,277,560 : x
  2. Step 2: Convert to fraction form
    413,893,816/649,277,560 = 649,277,560/x
  3. Step 3: Cross multiply
    413,893,816x = 649,277,560 × 649,277,560
  4. Step 4: Simplify right side
    413,893,816x = 421,561,349,919,553,600
  5. Step 5: Solve for x
    x = 421,561,349,919,553,600/413,893,816
  6. Step 6: Final answer
    x = 1,018,525,364.78

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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.