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Finding the Third Proportional to 1,476,545 and 3,157,831

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Solution

The third proportional to 1,476,545 and 3,157,831 is: 6,753,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476,545 : 3,157,831 = 3,157,831 : x
  2. Step 2: Convert to fraction form
    1,476,545/3,157,831 = 3,157,831/x
  3. Step 3: Cross multiply
    1,476,545x = 3,157,831 × 3,157,831
  4. Step 4: Simplify right side
    1,476,545x = 9,971,896,624,561
  5. Step 5: Solve for x
    x = 9,971,896,624,561/1,476,545
  6. Step 6: Final answer
    x = 6,753,533.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.