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Finding the Third Proportional to 640,235 and 1,359,319

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Solution

The third proportional to 640,235 and 1,359,319 is: 2,886,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,235 : 1,359,319 = 1,359,319 : x
  2. Step 2: Convert to fraction form
    640,235/1,359,319 = 1,359,319/x
  3. Step 3: Cross multiply
    640,235x = 1,359,319 × 1,359,319
  4. Step 4: Simplify right side
    640,235x = 1,847,748,143,761
  5. Step 5: Solve for x
    x = 1,847,748,143,761/640,235
  6. Step 6: Final answer
    x = 2,886,046.75

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.