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Finding the Third Proportional to 580,628 and 1,254,672

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Solution

The third proportional to 580,628 and 1,254,672 is: 2,711,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,628 : 1,254,672 = 1,254,672 : x
  2. Step 2: Convert to fraction form
    580,628/1,254,672 = 1,254,672/x
  3. Step 3: Cross multiply
    580,628x = 1,254,672 × 1,254,672
  4. Step 4: Simplify right side
    580,628x = 1,574,201,827,584
  5. Step 5: Solve for x
    x = 1,574,201,827,584/580,628
  6. Step 6: Final answer
    x = 2,711,205.50

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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.