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Finding the Third Proportional to 714,461 and 1,541,101

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Solution

The third proportional to 714,461 and 1,541,101 is: 3,324,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,461 : 1,541,101 = 1,541,101 : x
  2. Step 2: Convert to fraction form
    714,461/1,541,101 = 1,541,101/x
  3. Step 3: Cross multiply
    714,461x = 1,541,101 × 1,541,101
  4. Step 4: Simplify right side
    714,461x = 2,374,992,292,201
  5. Step 5: Solve for x
    x = 2,374,992,292,201/714,461
  6. Step 6: Final answer
    x = 3,324,173.46

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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.