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Finding the Third Proportional to 676,242 and 1,460,772

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Solution

The third proportional to 676,242 and 1,460,772 is: 3,155,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,242 : 1,460,772 = 1,460,772 : x
  2. Step 2: Convert to fraction form
    676,242/1,460,772 = 1,460,772/x
  3. Step 3: Cross multiply
    676,242x = 1,460,772 × 1,460,772
  4. Step 4: Simplify right side
    676,242x = 2,133,854,835,984
  5. Step 5: Solve for x
    x = 2,133,854,835,984/676,242
  6. Step 6: Final answer
    x = 3,155,460.38

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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.