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Finding the Third Proportional to 780,714.15 and 1,164,573.23

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Solution

The third proportional to 780,714.15 and 1,164,573.23 is: 1,737,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,714.15 : 1,164,573.23 = 1,164,573.23 : x
  2. Step 2: Convert to fraction form
    780,714.15/1,164,573.23 = 1,164,573.23/x
  3. Step 3: Cross multiply
    780,714.15x = 1,164,573.23 × 1,164,573.23
  4. Step 4: Simplify right side
    780,714.15x = 1,356,230,804,575.25
  5. Step 5: Solve for x
    x = 1,356,230,804,575.25/780,714.15
  6. Step 6: Final answer
    x = 1,737,166.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.