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Finding the Third Proportional to 991,824 and 2,148,480

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Solution

The third proportional to 991,824 and 2,148,480 is: 4,654,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,824 : 2,148,480 = 2,148,480 : x
  2. Step 2: Convert to fraction form
    991,824/2,148,480 = 2,148,480/x
  3. Step 3: Cross multiply
    991,824x = 2,148,480 × 2,148,480
  4. Step 4: Simplify right side
    991,824x = 4,615,966,310,400
  5. Step 5: Solve for x
    x = 4,615,966,310,400/991,824
  6. Step 6: Final answer
    x = 4,654,017.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.