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Finding the Third Proportional to 609,446 and 1,312,548.50

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Solution

The third proportional to 609,446 and 1,312,548.50 is: 2,826,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,446 : 1,312,548.50 = 1,312,548.50 : x
  2. Step 2: Convert to fraction form
    609,446/1,312,548.50 = 1,312,548.50/x
  3. Step 3: Cross multiply
    609,446x = 1,312,548.50 × 1,312,548.50
  4. Step 4: Simplify right side
    609,446x = 1,722,783,564,852.25
  5. Step 5: Solve for x
    x = 1,722,783,564,852.25/609,446
  6. Step 6: Final answer
    x = 2,826,802.65

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Why These Related Problems?

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