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Finding the Third Proportional to 370,626 and 812,169

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Solution

The third proportional to 370,626 and 812,169 is: 1,779,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,626 : 812,169 = 812,169 : x
  2. Step 2: Convert to fraction form
    370,626/812,169 = 812,169/x
  3. Step 3: Cross multiply
    370,626x = 812,169 × 812,169
  4. Step 4: Simplify right side
    370,626x = 659,618,484,561
  5. Step 5: Solve for x
    x = 659,618,484,561/370,626
  6. Step 6: Final answer
    x = 1,779,741.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.