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Finding the Third Proportional to 927,746 and 2,012,928

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Solution

The third proportional to 927,746 and 2,012,928 is: 4,367,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,746 : 2,012,928 = 2,012,928 : x
  2. Step 2: Convert to fraction form
    927,746/2,012,928 = 2,012,928/x
  3. Step 3: Cross multiply
    927,746x = 2,012,928 × 2,012,928
  4. Step 4: Simplify right side
    927,746x = 4,051,879,133,184
  5. Step 5: Solve for x
    x = 4,051,879,133,184/927,746
  6. Step 6: Final answer
    x = 4,367,444.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.