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Finding the Third Proportional to 575,514 and 1,344,213

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Solution

The third proportional to 575,514 and 1,344,213 is: 3,139,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,514 : 1,344,213 = 1,344,213 : x
  2. Step 2: Convert to fraction form
    575,514/1,344,213 = 1,344,213/x
  3. Step 3: Cross multiply
    575,514x = 1,344,213 × 1,344,213
  4. Step 4: Simplify right side
    575,514x = 1,806,908,589,369
  5. Step 5: Solve for x
    x = 1,806,908,589,369/575,514
  6. Step 6: Final answer
    x = 3,139,643.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.