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Finding the Third Proportional to 484,902 and 1,057,914

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Solution

The third proportional to 484,902 and 1,057,914 is: 2,308,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,902 : 1,057,914 = 1,057,914 : x
  2. Step 2: Convert to fraction form
    484,902/1,057,914 = 1,057,914/x
  3. Step 3: Cross multiply
    484,902x = 1,057,914 × 1,057,914
  4. Step 4: Simplify right side
    484,902x = 1,119,182,031,396
  5. Step 5: Solve for x
    x = 1,119,182,031,396/484,902
  6. Step 6: Final answer
    x = 2,308,058.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.