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Finding the Third Proportional to 910,176 and 1,225,272

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Solution

The third proportional to 910,176 and 1,225,272 is: 1,649,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,176 : 1,225,272 = 1,225,272 : x
  2. Step 2: Convert to fraction form
    910,176/1,225,272 = 1,225,272/x
  3. Step 3: Cross multiply
    910,176x = 1,225,272 × 1,225,272
  4. Step 4: Simplify right side
    910,176x = 1,501,291,473,984
  5. Step 5: Solve for x
    x = 1,501,291,473,984/910,176
  6. Step 6: Final answer
    x = 1,649,451.84

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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.