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Finding the Third Proportional to 909,488 and 1,515,720

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Solution

The third proportional to 909,488 and 1,515,720 is: 2,526,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,488 : 1,515,720 = 1,515,720 : x
  2. Step 2: Convert to fraction form
    909,488/1,515,720 = 1,515,720/x
  3. Step 3: Cross multiply
    909,488x = 1,515,720 × 1,515,720
  4. Step 4: Simplify right side
    909,488x = 2,297,407,118,400
  5. Step 5: Solve for x
    x = 2,297,407,118,400/909,488
  6. Step 6: Final answer
    x = 2,526,044.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.