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Finding the Third Proportional to 423,623 and 931,213

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Solution

The third proportional to 423,623 and 931,213 is: 2,047,003.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,623 : 931,213 = 931,213 : x
  2. Step 2: Convert to fraction form
    423,623/931,213 = 931,213/x
  3. Step 3: Cross multiply
    423,623x = 931,213 × 931,213
  4. Step 4: Simplify right side
    423,623x = 867,157,651,369
  5. Step 5: Solve for x
    x = 867,157,651,369/423,623
  6. Step 6: Final answer
    x = 2,047,003.23

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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.