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Finding the Third Proportional to 420,572 and 925,254

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Solution

The third proportional to 420,572 and 925,254 is: 2,035,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,572 : 925,254 = 925,254 : x
  2. Step 2: Convert to fraction form
    420,572/925,254 = 925,254/x
  3. Step 3: Cross multiply
    420,572x = 925,254 × 925,254
  4. Step 4: Simplify right side
    420,572x = 856,094,964,516
  5. Step 5: Solve for x
    x = 856,094,964,516/420,572
  6. Step 6: Final answer
    x = 2,035,549.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.