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Finding the Third Proportional to 1,184,612 and 1,688,310

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Solution

The third proportional to 1,184,612 and 1,688,310 is: 2,406,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,612 : 1,688,310 = 1,688,310 : x
  2. Step 2: Convert to fraction form
    1,184,612/1,688,310 = 1,688,310/x
  3. Step 3: Cross multiply
    1,184,612x = 1,688,310 × 1,688,310
  4. Step 4: Simplify right side
    1,184,612x = 2,850,390,656,100
  5. Step 5: Solve for x
    x = 2,850,390,656,100/1,184,612
  6. Step 6: Final answer
    x = 2,406,180.81

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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.