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Finding the Third Proportional to 1,153,714.50 and 2,524,830

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Solution

The third proportional to 1,153,714.50 and 2,524,830 is: 5,525,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,714.50 : 2,524,830 = 2,524,830 : x
  2. Step 2: Convert to fraction form
    1,153,714.50/2,524,830 = 2,524,830/x
  3. Step 3: Cross multiply
    1,153,714.50x = 2,524,830 × 2,524,830
  4. Step 4: Simplify right side
    1,153,714.50x = 6,374,766,528,900
  5. Step 5: Solve for x
    x = 6,374,766,528,900/1,153,714.50
  6. Step 6: Final answer
    x = 5,525,428.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.