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Finding the Third Proportional to 1,677,602.39 and 2,565,194.06

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Solution

The third proportional to 1,677,602.39 and 2,565,194.06 is: 3,922,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677,602.39 : 2,565,194.06 = 2,565,194.06 : x
  2. Step 2: Convert to fraction form
    1,677,602.39/2,565,194.06 = 2,565,194.06/x
  3. Step 3: Cross multiply
    1,677,602.39x = 2,565,194.06 × 2,565,194.06
  4. Step 4: Simplify right side
    1,677,602.39x = 6,580,220,578,285.25
  5. Step 5: Solve for x
    x = 6,580,220,578,285.25/1,677,602.39
  6. Step 6: Final answer
    x = 3,922,395.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.