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Finding the Third Proportional to 426,612 and 912,272

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Solution

The third proportional to 426,612 and 912,272 is: 1,950,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,612 : 912,272 = 912,272 : x
  2. Step 2: Convert to fraction form
    426,612/912,272 = 912,272/x
  3. Step 3: Cross multiply
    426,612x = 912,272 × 912,272
  4. Step 4: Simplify right side
    426,612x = 832,240,201,984
  5. Step 5: Solve for x
    x = 832,240,201,984/426,612
  6. Step 6: Final answer
    x = 1,950,812.92

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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.