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Finding the Third Proportional to 633,271 and 1,292,372

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Solution

The third proportional to 633,271 and 1,292,372 is: 2,637,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,271 : 1,292,372 = 1,292,372 : x
  2. Step 2: Convert to fraction form
    633,271/1,292,372 = 1,292,372/x
  3. Step 3: Cross multiply
    633,271x = 1,292,372 × 1,292,372
  4. Step 4: Simplify right side
    633,271x = 1,670,225,386,384
  5. Step 5: Solve for x
    x = 1,670,225,386,384/633,271
  6. Step 6: Final answer
    x = 2,637,457.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.