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Finding the Third Proportional to 976,449 and 1,478,443.50

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Solution

The third proportional to 976,449 and 1,478,443.50 is: 2,238,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,449 : 1,478,443.50 = 1,478,443.50 : x
  2. Step 2: Convert to fraction form
    976,449/1,478,443.50 = 1,478,443.50/x
  3. Step 3: Cross multiply
    976,449x = 1,478,443.50 × 1,478,443.50
  4. Step 4: Simplify right side
    976,449x = 2,185,795,182,692.25
  5. Step 5: Solve for x
    x = 2,185,795,182,692.25/976,449
  6. Step 6: Final answer
    x = 2,238,514.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.