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Finding the Third Proportional to 506,225 and 1,069,369

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Solution

The third proportional to 506,225 and 1,069,369 is: 2,258,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,225 : 1,069,369 = 1,069,369 : x
  2. Step 2: Convert to fraction form
    506,225/1,069,369 = 1,069,369/x
  3. Step 3: Cross multiply
    506,225x = 1,069,369 × 1,069,369
  4. Step 4: Simplify right side
    506,225x = 1,143,550,058,161
  5. Step 5: Solve for x
    x = 1,143,550,058,161/506,225
  6. Step 6: Final answer
    x = 2,258,975.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.