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Finding the Third Proportional to 419,725,146 and 898,411,698.75

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Solution

The third proportional to 419,725,146 and 898,411,698.75 is: 1,923,028,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,725,146 : 898,411,698.75 = 898,411,698.75 : x
  2. Step 2: Convert to fraction form
    419,725,146/898,411,698.75 = 898,411,698.75/x
  3. Step 3: Cross multiply
    419,725,146x = 898,411,698.75 × 898,411,698.75
  4. Step 4: Simplify right side
    419,725,146x = 807,143,580,450,860,800
  5. Step 5: Solve for x
    x = 807,143,580,450,860,800/419,725,146
  6. Step 6: Final answer
    x = 1,923,028,887.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.