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Finding the Third Proportional to 566,432,968 and 874,804,830

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Solution

The third proportional to 566,432,968 and 874,804,830 is: 1,351,057,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,432,968 : 874,804,830 = 874,804,830 : x
  2. Step 2: Convert to fraction form
    566,432,968/874,804,830 = 874,804,830/x
  3. Step 3: Cross multiply
    566,432,968x = 874,804,830 × 874,804,830
  4. Step 4: Simplify right side
    566,432,968x = 765,283,490,591,328,896
  5. Step 5: Solve for x
    x = 765,283,490,591,328,896/566,432,968
  6. Step 6: Final answer
    x = 1,351,057,466.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.