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Finding the Third Proportional to 676,222 and 1,427,894

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Solution

The third proportional to 676,222 and 1,427,894 is: 3,015,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,222 : 1,427,894 = 1,427,894 : x
  2. Step 2: Convert to fraction form
    676,222/1,427,894 = 1,427,894/x
  3. Step 3: Cross multiply
    676,222x = 1,427,894 × 1,427,894
  4. Step 4: Simplify right side
    676,222x = 2,038,881,275,236
  5. Step 5: Solve for x
    x = 2,038,881,275,236/676,222
  6. Step 6: Final answer
    x = 3,015,106.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.