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Finding the Third Proportional to 566,432,964 and 874,804,824

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Solution

The third proportional to 566,432,964 and 874,804,824 is: 1,351,057,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,432,964 : 874,804,824 = 874,804,824 : x
  2. Step 2: Convert to fraction form
    566,432,964/874,804,824 = 874,804,824/x
  3. Step 3: Cross multiply
    566,432,964x = 874,804,824 × 874,804,824
  4. Step 4: Simplify right side
    566,432,964x = 765,283,480,093,670,912
  5. Step 5: Solve for x
    x = 765,283,480,093,670,912/566,432,964
  6. Step 6: Final answer
    x = 1,351,057,457.34

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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.