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Finding the Third Proportional to 624,428 and 1,473,552

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Solution

The third proportional to 624,428 and 1,473,552 is: 3,477,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,428 : 1,473,552 = 1,473,552 : x
  2. Step 2: Convert to fraction form
    624,428/1,473,552 = 1,473,552/x
  3. Step 3: Cross multiply
    624,428x = 1,473,552 × 1,473,552
  4. Step 4: Simplify right side
    624,428x = 2,171,355,496,704
  5. Step 5: Solve for x
    x = 2,171,355,496,704/624,428
  6. Step 6: Final answer
    x = 3,477,351.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.