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Finding the Third Proportional to 903,216 and 1,950,432

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Solution

The third proportional to 903,216 and 1,950,432 is: 4,211,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,216 : 1,950,432 = 1,950,432 : x
  2. Step 2: Convert to fraction form
    903,216/1,950,432 = 1,950,432/x
  3. Step 3: Cross multiply
    903,216x = 1,950,432 × 1,950,432
  4. Step 4: Simplify right side
    903,216x = 3,804,184,986,624
  5. Step 5: Solve for x
    x = 3,804,184,986,624/903,216
  6. Step 6: Final answer
    x = 4,211,821.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.