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Finding the Third Proportional to 1,930,021 and 4,125,082

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Solution

The third proportional to 1,930,021 and 4,125,082 is: 8,816,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930,021 : 4,125,082 = 4,125,082 : x
  2. Step 2: Convert to fraction form
    1,930,021/4,125,082 = 4,125,082/x
  3. Step 3: Cross multiply
    1,930,021x = 4,125,082 × 4,125,082
  4. Step 4: Simplify right side
    1,930,021x = 17,016,301,506,724
  5. Step 5: Solve for x
    x = 17,016,301,506,724/1,930,021
  6. Step 6: Final answer
    x = 8,816,640.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.