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Finding the Third Proportional to 511,275,472 and 1,118,210,624

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Solution

The third proportional to 511,275,472 and 1,118,210,624 is: 2,445,638,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,275,472 : 1,118,210,624 = 1,118,210,624 : x
  2. Step 2: Convert to fraction form
    511,275,472/1,118,210,624 = 1,118,210,624/x
  3. Step 3: Cross multiply
    511,275,472x = 1,118,210,624 × 1,118,210,624
  4. Step 4: Simplify right side
    511,275,472x = 1,250,394,999,626,469,376
  5. Step 5: Solve for x
    x = 1,250,394,999,626,469,376/511,275,472
  6. Step 6: Final answer
    x = 2,445,638,541.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.