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Finding the Third Proportional to 910,178 and 1,225,275

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Solution

The third proportional to 910,178 and 1,225,275 is: 1,649,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,178 : 1,225,275 = 1,225,275 : x
  2. Step 2: Convert to fraction form
    910,178/1,225,275 = 1,225,275/x
  3. Step 3: Cross multiply
    910,178x = 1,225,275 × 1,225,275
  4. Step 4: Simplify right side
    910,178x = 1,501,298,825,625
  5. Step 5: Solve for x
    x = 1,501,298,825,625/910,178
  6. Step 6: Final answer
    x = 1,649,456.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.