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Finding the Third Proportional to 810,624 and 1,184,664

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Solution

The third proportional to 810,624 and 1,184,664 is: 1,731,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,624 : 1,184,664 = 1,184,664 : x
  2. Step 2: Convert to fraction form
    810,624/1,184,664 = 1,184,664/x
  3. Step 3: Cross multiply
    810,624x = 1,184,664 × 1,184,664
  4. Step 4: Simplify right side
    810,624x = 1,403,428,792,896
  5. Step 5: Solve for x
    x = 1,403,428,792,896/810,624
  6. Step 6: Final answer
    x = 1,731,294.40

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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.