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Finding the Third Proportional to 432,748 and 941,688

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Solution

The third proportional to 432,748 and 941,688 is: 2,049,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,748 : 941,688 = 941,688 : x
  2. Step 2: Convert to fraction form
    432,748/941,688 = 941,688/x
  3. Step 3: Cross multiply
    432,748x = 941,688 × 941,688
  4. Step 4: Simplify right side
    432,748x = 886,776,289,344
  5. Step 5: Solve for x
    x = 886,776,289,344/432,748
  6. Step 6: Final answer
    x = 2,049,174.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.