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Finding the Third Proportional to 2,921,829 and 6,404,082

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Solution

The third proportional to 2,921,829 and 6,404,082 is: 14,036,504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921,829 : 6,404,082 = 6,404,082 : x
  2. Step 2: Convert to fraction form
    2,921,829/6,404,082 = 6,404,082/x
  3. Step 3: Cross multiply
    2,921,829x = 6,404,082 × 6,404,082
  4. Step 4: Simplify right side
    2,921,829x = 41,012,266,262,724
  5. Step 5: Solve for x
    x = 41,012,266,262,724/2,921,829
  6. Step 6: Final answer
    x = 14,036,504.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.