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Finding the Third Proportional to 434,664 and 921,654

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Solution

The third proportional to 434,664 and 921,654 is: 1,954,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,664 : 921,654 = 921,654 : x
  2. Step 2: Convert to fraction form
    434,664/921,654 = 921,654/x
  3. Step 3: Cross multiply
    434,664x = 921,654 × 921,654
  4. Step 4: Simplify right side
    434,664x = 849,446,095,716
  5. Step 5: Solve for x
    x = 849,446,095,716/434,664
  6. Step 6: Final answer
    x = 1,954,259.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.