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Finding the Third Proportional to 497,421 and 1,074,264.75

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Solution

The third proportional to 497,421 and 1,074,264.75 is: 2,320,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,421 : 1,074,264.75 = 1,074,264.75 : x
  2. Step 2: Convert to fraction form
    497,421/1,074,264.75 = 1,074,264.75/x
  3. Step 3: Cross multiply
    497,421x = 1,074,264.75 × 1,074,264.75
  4. Step 4: Simplify right side
    497,421x = 1,154,044,753,092.56
  5. Step 5: Solve for x
    x = 1,154,044,753,092.56/497,421
  6. Step 6: Final answer
    x = 2,320,056.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.