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Finding the Third Proportional to 506,223 and 1,069,365

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Solution

The third proportional to 506,223 and 1,069,365 is: 2,258,967.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,223 : 1,069,365 = 1,069,365 : x
  2. Step 2: Convert to fraction form
    506,223/1,069,365 = 1,069,365/x
  3. Step 3: Cross multiply
    506,223x = 1,069,365 × 1,069,365
  4. Step 4: Simplify right side
    506,223x = 1,143,541,503,225
  5. Step 5: Solve for x
    x = 1,143,541,503,225/506,223
  6. Step 6: Final answer
    x = 2,258,967.89

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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.