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Finding the Third Proportional to 619,423 and 1,371,503

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Solution

The third proportional to 619,423 and 1,371,503 is: 3,036,730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,423 : 1,371,503 = 1,371,503 : x
  2. Step 2: Convert to fraction form
    619,423/1,371,503 = 1,371,503/x
  3. Step 3: Cross multiply
    619,423x = 1,371,503 × 1,371,503
  4. Step 4: Simplify right side
    619,423x = 1,881,020,479,009
  5. Step 5: Solve for x
    x = 1,881,020,479,009/619,423
  6. Step 6: Final answer
    x = 3,036,730.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.