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Finding the Third Proportional to 429,732 and 935,928

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Solution

The third proportional to 429,732 and 935,928 is: 2,038,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,732 : 935,928 = 935,928 : x
  2. Step 2: Convert to fraction form
    429,732/935,928 = 935,928/x
  3. Step 3: Cross multiply
    429,732x = 935,928 × 935,928
  4. Step 4: Simplify right side
    429,732x = 875,961,221,184
  5. Step 5: Solve for x
    x = 875,961,221,184/429,732
  6. Step 6: Final answer
    x = 2,038,389.56

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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.