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Finding the Third Proportional to 628,504 and 1,357,412

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Solution

The third proportional to 628,504 and 1,357,412 is: 2,931,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,504 : 1,357,412 = 1,357,412 : x
  2. Step 2: Convert to fraction form
    628,504/1,357,412 = 1,357,412/x
  3. Step 3: Cross multiply
    628,504x = 1,357,412 × 1,357,412
  4. Step 4: Simplify right side
    628,504x = 1,842,567,337,744
  5. Step 5: Solve for x
    x = 1,842,567,337,744/628,504
  6. Step 6: Final answer
    x = 2,931,671.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.