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Finding the Third Proportional to 640,172 and 1,398,460

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Solution

The third proportional to 640,172 and 1,398,460 is: 3,054,945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,172 : 1,398,460 = 1,398,460 : x
  2. Step 2: Convert to fraction form
    640,172/1,398,460 = 1,398,460/x
  3. Step 3: Cross multiply
    640,172x = 1,398,460 × 1,398,460
  4. Step 4: Simplify right side
    640,172x = 1,955,690,371,600
  5. Step 5: Solve for x
    x = 1,955,690,371,600/640,172
  6. Step 6: Final answer
    x = 3,054,945.19

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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.