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Finding the Third Proportional to 577,476 and 1,259,772

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Solution

The third proportional to 577,476 and 1,259,772 is: 2,748,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,476 : 1,259,772 = 1,259,772 : x
  2. Step 2: Convert to fraction form
    577,476/1,259,772 = 1,259,772/x
  3. Step 3: Cross multiply
    577,476x = 1,259,772 × 1,259,772
  4. Step 4: Simplify right side
    577,476x = 1,587,025,491,984
  5. Step 5: Solve for x
    x = 1,587,025,491,984/577,476
  6. Step 6: Final answer
    x = 2,748,210.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.