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Finding the Third Proportional to 527,824 and 1,244,770

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Solution

The third proportional to 527,824 and 1,244,770 is: 2,935,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,824 : 1,244,770 = 1,244,770 : x
  2. Step 2: Convert to fraction form
    527,824/1,244,770 = 1,244,770/x
  3. Step 3: Cross multiply
    527,824x = 1,244,770 × 1,244,770
  4. Step 4: Simplify right side
    527,824x = 1,549,452,352,900
  5. Step 5: Solve for x
    x = 1,549,452,352,900/527,824
  6. Step 6: Final answer
    x = 2,935,547.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.