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Finding the Third Proportional to 432,772 and 934,664

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Solution

The third proportional to 432,772 and 934,664 is: 2,018,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,772 : 934,664 = 934,664 : x
  2. Step 2: Convert to fraction form
    432,772/934,664 = 934,664/x
  3. Step 3: Cross multiply
    432,772x = 934,664 × 934,664
  4. Step 4: Simplify right side
    432,772x = 873,596,792,896
  5. Step 5: Solve for x
    x = 873,596,792,896/432,772
  6. Step 6: Final answer
    x = 2,018,607.47

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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.