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Finding the Third Proportional to 909,761 and 1,426,971

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Solution

The third proportional to 909,761 and 1,426,971 is: 2,238,221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,761 : 1,426,971 = 1,426,971 : x
  2. Step 2: Convert to fraction form
    909,761/1,426,971 = 1,426,971/x
  3. Step 3: Cross multiply
    909,761x = 1,426,971 × 1,426,971
  4. Step 4: Simplify right side
    909,761x = 2,036,246,234,841
  5. Step 5: Solve for x
    x = 2,036,246,234,841/909,761
  6. Step 6: Final answer
    x = 2,238,221.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.