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Finding the Third Proportional to 432,724 and 948,484

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Solution

The third proportional to 432,724 and 948,484 is: 2,078,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,724 : 948,484 = 948,484 : x
  2. Step 2: Convert to fraction form
    432,724/948,484 = 948,484/x
  3. Step 3: Cross multiply
    432,724x = 948,484 × 948,484
  4. Step 4: Simplify right side
    432,724x = 899,621,898,256
  5. Step 5: Solve for x
    x = 899,621,898,256/432,724
  6. Step 6: Final answer
    x = 2,078,973.89

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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.