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Finding the Third Proportional to 493,644,664 and 1,025,552,822

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Solution

The third proportional to 493,644,664 and 1,025,552,822 is: 2,130,598,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,644,664 : 1,025,552,822 = 1,025,552,822 : x
  2. Step 2: Convert to fraction form
    493,644,664/1,025,552,822 = 1,025,552,822/x
  3. Step 3: Cross multiply
    493,644,664x = 1,025,552,822 × 1,025,552,822
  4. Step 4: Simplify right side
    493,644,664x = 1,051,758,590,712,163,712
  5. Step 5: Solve for x
    x = 1,051,758,590,712,163,712/493,644,664
  6. Step 6: Final answer
    x = 2,130,598,520.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.