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Finding the Third Proportional to 580,639 and 1,254,698

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Solution

The third proportional to 580,639 and 1,254,698 is: 2,711,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,639 : 1,254,698 = 1,254,698 : x
  2. Step 2: Convert to fraction form
    580,639/1,254,698 = 1,254,698/x
  3. Step 3: Cross multiply
    580,639x = 1,254,698 × 1,254,698
  4. Step 4: Simplify right side
    580,639x = 1,574,267,071,204
  5. Step 5: Solve for x
    x = 1,574,267,071,204/580,639
  6. Step 6: Final answer
    x = 2,711,266.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.