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Finding the Third Proportional to 480,355 and 1,031,938

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Solution

The third proportional to 480,355 and 1,031,938 is: 2,216,893.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,355 : 1,031,938 = 1,031,938 : x
  2. Step 2: Convert to fraction form
    480,355/1,031,938 = 1,031,938/x
  3. Step 3: Cross multiply
    480,355x = 1,031,938 × 1,031,938
  4. Step 4: Simplify right side
    480,355x = 1,064,896,035,844
  5. Step 5: Solve for x
    x = 1,064,896,035,844/480,355
  6. Step 6: Final answer
    x = 2,216,893.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.