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Finding the Third Proportional to 432,585 and 931,728

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Solution

The third proportional to 432,585 and 931,728 is: 2,006,812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,585 : 931,728 = 931,728 : x
  2. Step 2: Convert to fraction form
    432,585/931,728 = 931,728/x
  3. Step 3: Cross multiply
    432,585x = 931,728 × 931,728
  4. Step 4: Simplify right side
    432,585x = 868,117,065,984
  5. Step 5: Solve for x
    x = 868,117,065,984/432,585
  6. Step 6: Final answer
    x = 2,006,812.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.