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Finding the Third Proportional to 631,424 and 1,352,704

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Solution

The third proportional to 631,424 and 1,352,704 is: 2,897,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,424 : 1,352,704 = 1,352,704 : x
  2. Step 2: Convert to fraction form
    631,424/1,352,704 = 1,352,704/x
  3. Step 3: Cross multiply
    631,424x = 1,352,704 × 1,352,704
  4. Step 4: Simplify right side
    631,424x = 1,829,808,111,616
  5. Step 5: Solve for x
    x = 1,829,808,111,616/631,424
  6. Step 6: Final answer
    x = 2,897,907.13

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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.