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Finding the Third Proportional to 610,992 and 1,312,272

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Solution

The third proportional to 610,992 and 1,312,272 is: 2,818,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,992 : 1,312,272 = 1,312,272 : x
  2. Step 2: Convert to fraction form
    610,992/1,312,272 = 1,312,272/x
  3. Step 3: Cross multiply
    610,992x = 1,312,272 × 1,312,272
  4. Step 4: Simplify right side
    610,992x = 1,722,057,801,984
  5. Step 5: Solve for x
    x = 1,722,057,801,984/610,992
  6. Step 6: Final answer
    x = 2,818,462.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.