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Finding the Third Proportional to 535,476 and 1,115,334

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Solution

The third proportional to 535,476 and 1,115,334 is: 2,323,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,476 : 1,115,334 = 1,115,334 : x
  2. Step 2: Convert to fraction form
    535,476/1,115,334 = 1,115,334/x
  3. Step 3: Cross multiply
    535,476x = 1,115,334 × 1,115,334
  4. Step 4: Simplify right side
    535,476x = 1,243,969,931,556
  5. Step 5: Solve for x
    x = 1,243,969,931,556/535,476
  6. Step 6: Final answer
    x = 2,323,110.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.