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Finding the Third Proportional to 517,114,176 and 725,613,570

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Solution

The third proportional to 517,114,176 and 725,613,570 is: 1,018,179,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,114,176 : 725,613,570 = 725,613,570 : x
  2. Step 2: Convert to fraction form
    517,114,176/725,613,570 = 725,613,570/x
  3. Step 3: Cross multiply
    517,114,176x = 725,613,570 × 725,613,570
  4. Step 4: Simplify right side
    517,114,176x = 526,515,052,968,144,896
  5. Step 5: Solve for x
    x = 526,515,052,968,144,896/517,114,176
  6. Step 6: Final answer
    x = 1,018,179,499.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.