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Finding the Third Proportional to 872,829 and 1,354,644

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Solution

The third proportional to 872,829 and 1,354,644 is: 2,102,428.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,829 : 1,354,644 = 1,354,644 : x
  2. Step 2: Convert to fraction form
    872,829/1,354,644 = 1,354,644/x
  3. Step 3: Cross multiply
    872,829x = 1,354,644 × 1,354,644
  4. Step 4: Simplify right side
    872,829x = 1,835,060,366,736
  5. Step 5: Solve for x
    x = 1,835,060,366,736/872,829
  6. Step 6: Final answer
    x = 2,102,428.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.