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Finding the Third Proportional to 469,266 and 1,031,841

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Solution

The third proportional to 469,266 and 1,031,841 is: 2,268,853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,266 : 1,031,841 = 1,031,841 : x
  2. Step 2: Convert to fraction form
    469,266/1,031,841 = 1,031,841/x
  3. Step 3: Cross multiply
    469,266x = 1,031,841 × 1,031,841
  4. Step 4: Simplify right side
    469,266x = 1,064,695,849,281
  5. Step 5: Solve for x
    x = 1,064,695,849,281/469,266
  6. Step 6: Final answer
    x = 2,268,853.59

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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.