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Finding the Third Proportional to 910,202 and 1,225,311

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Solution

The third proportional to 910,202 and 1,225,311 is: 1,649,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,202 : 1,225,311 = 1,225,311 : x
  2. Step 2: Convert to fraction form
    910,202/1,225,311 = 1,225,311/x
  3. Step 3: Cross multiply
    910,202x = 1,225,311 × 1,225,311
  4. Step 4: Simplify right side
    910,202x = 1,501,387,046,721
  5. Step 5: Solve for x
    x = 1,501,387,046,721/910,202
  6. Step 6: Final answer
    x = 1,649,509.72

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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.