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Finding the Third Proportional to 511,970 and 1,137,572

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Solution

The third proportional to 511,970 and 1,137,572 is: 2,527,628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,970 : 1,137,572 = 1,137,572 : x
  2. Step 2: Convert to fraction form
    511,970/1,137,572 = 1,137,572/x
  3. Step 3: Cross multiply
    511,970x = 1,137,572 × 1,137,572
  4. Step 4: Simplify right side
    511,970x = 1,294,070,055,184
  5. Step 5: Solve for x
    x = 1,294,070,055,184/511,970
  6. Step 6: Final answer
    x = 2,527,628.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.