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Finding the Third Proportional to 574,902 and 1,209,385

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Solution

The third proportional to 574,902 and 1,209,385 is: 2,544,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,902 : 1,209,385 = 1,209,385 : x
  2. Step 2: Convert to fraction form
    574,902/1,209,385 = 1,209,385/x
  3. Step 3: Cross multiply
    574,902x = 1,209,385 × 1,209,385
  4. Step 4: Simplify right side
    574,902x = 1,462,612,078,225
  5. Step 5: Solve for x
    x = 1,462,612,078,225/574,902
  6. Step 6: Final answer
    x = 2,544,106.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.