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Finding the Third Proportional to 640,176 and 1,398,468

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Solution

The third proportional to 640,176 and 1,398,468 is: 3,054,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,176 : 1,398,468 = 1,398,468 : x
  2. Step 2: Convert to fraction form
    640,176/1,398,468 = 1,398,468/x
  3. Step 3: Cross multiply
    640,176x = 1,398,468 × 1,398,468
  4. Step 4: Simplify right side
    640,176x = 1,955,712,747,024
  5. Step 5: Solve for x
    x = 1,955,712,747,024/640,176
  6. Step 6: Final answer
    x = 3,054,961.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.