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Finding the Third Proportional to 708,953.25 and 1,089,711

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Solution

The third proportional to 708,953.25 and 1,089,711 is: 1,674,962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,953.25 : 1,089,711 = 1,089,711 : x
  2. Step 2: Convert to fraction form
    708,953.25/1,089,711 = 1,089,711/x
  3. Step 3: Cross multiply
    708,953.25x = 1,089,711 × 1,089,711
  4. Step 4: Simplify right side
    708,953.25x = 1,187,470,063,521
  5. Step 5: Solve for x
    x = 1,187,470,063,521/708,953.25
  6. Step 6: Final answer
    x = 1,674,962.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.