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Finding the Third Proportional to 640,160 and 1,388,896

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Solution

The third proportional to 640,160 and 1,388,896 is: 3,013,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,160 : 1,388,896 = 1,388,896 : x
  2. Step 2: Convert to fraction form
    640,160/1,388,896 = 1,388,896/x
  3. Step 3: Cross multiply
    640,160x = 1,388,896 × 1,388,896
  4. Step 4: Simplify right side
    640,160x = 1,929,032,098,816
  5. Step 5: Solve for x
    x = 1,929,032,098,816/640,160
  6. Step 6: Final answer
    x = 3,013,359.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.