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Finding the Third Proportional to 1,930,237 and 4,178,209

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Solution

The third proportional to 1,930,237 and 4,178,209 is: 9,044,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930,237 : 4,178,209 = 4,178,209 : x
  2. Step 2: Convert to fraction form
    1,930,237/4,178,209 = 4,178,209/x
  3. Step 3: Cross multiply
    1,930,237x = 4,178,209 × 4,178,209
  4. Step 4: Simplify right side
    1,930,237x = 17,457,430,447,681
  5. Step 5: Solve for x
    x = 17,457,430,447,681/1,930,237
  6. Step 6: Final answer
    x = 9,044,190.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.