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Finding the Third Proportional to 577,386,824 and 834,224,232

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Solution

The third proportional to 577,386,824 and 834,224,232 is: 1,205,309,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,386,824 : 834,224,232 = 834,224,232 : x
  2. Step 2: Convert to fraction form
    577,386,824/834,224,232 = 834,224,232/x
  3. Step 3: Cross multiply
    577,386,824x = 834,224,232 × 834,224,232
  4. Step 4: Simplify right side
    577,386,824x = 695,930,069,255,989,760
  5. Step 5: Solve for x
    x = 695,930,069,255,989,760/577,386,824
  6. Step 6: Final answer
    x = 1,205,309,924.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.