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Finding the Third Proportional to 555,336 and 1,189,416

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Solution

The third proportional to 555,336 and 1,189,416 is: 2,547,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,336 : 1,189,416 = 1,189,416 : x
  2. Step 2: Convert to fraction form
    555,336/1,189,416 = 1,189,416/x
  3. Step 3: Cross multiply
    555,336x = 1,189,416 × 1,189,416
  4. Step 4: Simplify right side
    555,336x = 1,414,710,421,056
  5. Step 5: Solve for x
    x = 1,414,710,421,056/555,336
  6. Step 6: Final answer
    x = 2,547,485.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.