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Finding the Third Proportional to 927,330 and 1,977,138

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Solution

The third proportional to 927,330 and 1,977,138 is: 4,215,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,330 : 1,977,138 = 1,977,138 : x
  2. Step 2: Convert to fraction form
    927,330/1,977,138 = 1,977,138/x
  3. Step 3: Cross multiply
    927,330x = 1,977,138 × 1,977,138
  4. Step 4: Simplify right side
    927,330x = 3,909,074,671,044
  5. Step 5: Solve for x
    x = 3,909,074,671,044/927,330
  6. Step 6: Final answer
    x = 4,215,408.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.