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Finding the Third Proportional to 577,478 and 1,259,776

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Solution

The third proportional to 577,478 and 1,259,776 is: 2,748,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,478 : 1,259,776 = 1,259,776 : x
  2. Step 2: Convert to fraction form
    577,478/1,259,776 = 1,259,776/x
  3. Step 3: Cross multiply
    577,478x = 1,259,776 × 1,259,776
  4. Step 4: Simplify right side
    577,478x = 1,587,035,570,176
  5. Step 5: Solve for x
    x = 1,587,035,570,176/577,478
  6. Step 6: Final answer
    x = 2,748,218.24

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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.