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Finding the Third Proportional to 1,184,384 and 1,688,002

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Solution

The third proportional to 1,184,384 and 1,688,002 is: 2,405,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,384 : 1,688,002 = 1,688,002 : x
  2. Step 2: Convert to fraction form
    1,184,384/1,688,002 = 1,688,002/x
  3. Step 3: Cross multiply
    1,184,384x = 1,688,002 × 1,688,002
  4. Step 4: Simplify right side
    1,184,384x = 2,849,350,752,004
  5. Step 5: Solve for x
    x = 2,849,350,752,004/1,184,384
  6. Step 6: Final answer
    x = 2,405,765.99

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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.