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Finding the Third Proportional to 432,233 and 948,541

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Solution

The third proportional to 432,233 and 948,541 is: 2,081,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,233 : 948,541 = 948,541 : x
  2. Step 2: Convert to fraction form
    432,233/948,541 = 948,541/x
  3. Step 3: Cross multiply
    432,233x = 948,541 × 948,541
  4. Step 4: Simplify right side
    432,233x = 899,730,028,681
  5. Step 5: Solve for x
    x = 899,730,028,681/432,233
  6. Step 6: Final answer
    x = 2,081,585.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.