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Finding the Third Proportional to 1,184,438 and 1,688,074

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Solution

The third proportional to 1,184,438 and 1,688,074 is: 2,405,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,438 : 1,688,074 = 1,688,074 : x
  2. Step 2: Convert to fraction form
    1,184,438/1,688,074 = 1,688,074/x
  3. Step 3: Cross multiply
    1,184,438x = 1,688,074 × 1,688,074
  4. Step 4: Simplify right side
    1,184,438x = 2,849,593,829,476
  5. Step 5: Solve for x
    x = 2,849,593,829,476/1,184,438
  6. Step 6: Final answer
    x = 2,405,861.54

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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.