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Finding the Third Proportional to 432,894 and 927,996

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Solution

The third proportional to 432,894 and 927,996 is: 1,989,347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,894 : 927,996 = 927,996 : x
  2. Step 2: Convert to fraction form
    432,894/927,996 = 927,996/x
  3. Step 3: Cross multiply
    432,894x = 927,996 × 927,996
  4. Step 4: Simplify right side
    432,894x = 861,176,576,016
  5. Step 5: Solve for x
    x = 861,176,576,016/432,894
  6. Step 6: Final answer
    x = 1,989,347.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.