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Finding the Third Proportional to 1,184,448 and 1,688,085

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Solution

The third proportional to 1,184,448 and 1,688,085 is: 2,405,872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,448 : 1,688,085 = 1,688,085 : x
  2. Step 2: Convert to fraction form
    1,184,448/1,688,085 = 1,688,085/x
  3. Step 3: Cross multiply
    1,184,448x = 1,688,085 × 1,688,085
  4. Step 4: Simplify right side
    1,184,448x = 2,849,630,967,225
  5. Step 5: Solve for x
    x = 2,849,630,967,225/1,184,448
  6. Step 6: Final answer
    x = 2,405,872.58

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.