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Finding the Third Proportional to 759,435 and 1,670,454

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Solution

The third proportional to 759,435 and 1,670,454 is: 3,674,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,435 : 1,670,454 = 1,670,454 : x
  2. Step 2: Convert to fraction form
    759,435/1,670,454 = 1,670,454/x
  3. Step 3: Cross multiply
    759,435x = 1,670,454 × 1,670,454
  4. Step 4: Simplify right side
    759,435x = 2,790,416,566,116
  5. Step 5: Solve for x
    x = 2,790,416,566,116/759,435
  6. Step 6: Final answer
    x = 3,674,332.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.