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Finding the Third Proportional to 1,184,630 and 1,688,337

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Solution

The third proportional to 1,184,630 and 1,688,337 is: 2,406,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,630 : 1,688,337 = 1,688,337 : x
  2. Step 2: Convert to fraction form
    1,184,630/1,688,337 = 1,688,337/x
  3. Step 3: Cross multiply
    1,184,630x = 1,688,337 × 1,688,337
  4. Step 4: Simplify right side
    1,184,630x = 2,850,481,825,569
  5. Step 5: Solve for x
    x = 2,850,481,825,569/1,184,630
  6. Step 6: Final answer
    x = 2,406,221.20

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Why These Related Problems?

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