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Finding the Third Proportional to 421,748 and 909,924

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Solution

The third proportional to 421,748 and 909,924 is: 1,963,166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,748 : 909,924 = 909,924 : x
  2. Step 2: Convert to fraction form
    421,748/909,924 = 909,924/x
  3. Step 3: Cross multiply
    421,748x = 909,924 × 909,924
  4. Step 4: Simplify right side
    421,748x = 827,961,685,776
  5. Step 5: Solve for x
    x = 827,961,685,776/421,748
  6. Step 6: Final answer
    x = 1,963,166.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.