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Finding the Third Proportional to 429,731 and 935,922

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Solution

The third proportional to 429,731 and 935,922 is: 2,038,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,731 : 935,922 = 935,922 : x
  2. Step 2: Convert to fraction form
    429,731/935,922 = 935,922/x
  3. Step 3: Cross multiply
    429,731x = 935,922 × 935,922
  4. Step 4: Simplify right side
    429,731x = 875,949,990,084
  5. Step 5: Solve for x
    x = 875,949,990,084/429,731
  6. Step 6: Final answer
    x = 2,038,368.17

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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.