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Finding the Third Proportional to 449,664 and 963,432

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Solution

The third proportional to 449,664 and 963,432 is: 2,064,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,664 : 963,432 = 963,432 : x
  2. Step 2: Convert to fraction form
    449,664/963,432 = 963,432/x
  3. Step 3: Cross multiply
    449,664x = 963,432 × 963,432
  4. Step 4: Simplify right side
    449,664x = 928,201,218,624
  5. Step 5: Solve for x
    x = 928,201,218,624/449,664
  6. Step 6: Final answer
    x = 2,064,210.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.