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Finding the Third Proportional to 810,576 and 1,184,598

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Solution

The third proportional to 810,576 and 1,184,598 is: 1,731,204.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,576 : 1,184,598 = 1,184,598 : x
  2. Step 2: Convert to fraction form
    810,576/1,184,598 = 1,184,598/x
  3. Step 3: Cross multiply
    810,576x = 1,184,598 × 1,184,598
  4. Step 4: Simplify right side
    810,576x = 1,403,272,421,604
  5. Step 5: Solve for x
    x = 1,403,272,421,604/810,576
  6. Step 6: Final answer
    x = 1,731,204.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.