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Finding the Third Proportional to 523,609 and 1,129,919

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Solution

The third proportional to 523,609 and 1,129,919 is: 2,438,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,609 : 1,129,919 = 1,129,919 : x
  2. Step 2: Convert to fraction form
    523,609/1,129,919 = 1,129,919/x
  3. Step 3: Cross multiply
    523,609x = 1,129,919 × 1,129,919
  4. Step 4: Simplify right side
    523,609x = 1,276,716,946,561
  5. Step 5: Solve for x
    x = 1,276,716,946,561/523,609
  6. Step 6: Final answer
    x = 2,438,302.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.