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Finding the Third Proportional to 575,424 and 1,264,248

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Solution

The third proportional to 575,424 and 1,264,248 is: 2,777,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,424 : 1,264,248 = 1,264,248 : x
  2. Step 2: Convert to fraction form
    575,424/1,264,248 = 1,264,248/x
  3. Step 3: Cross multiply
    575,424x = 1,264,248 × 1,264,248
  4. Step 4: Simplify right side
    575,424x = 1,598,323,005,504
  5. Step 5: Solve for x
    x = 1,598,323,005,504/575,424
  6. Step 6: Final answer
    x = 2,777,643.97

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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.