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Finding the Third Proportional to 931,728 and 2,021,664

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Solution

The third proportional to 931,728 and 2,021,664 is: 4,386,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,728 : 2,021,664 = 2,021,664 : x
  2. Step 2: Convert to fraction form
    931,728/2,021,664 = 2,021,664/x
  3. Step 3: Cross multiply
    931,728x = 2,021,664 × 2,021,664
  4. Step 4: Simplify right side
    931,728x = 4,087,125,328,896
  5. Step 5: Solve for x
    x = 4,087,125,328,896/931,728
  6. Step 6: Final answer
    x = 4,386,607.82

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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.