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Finding the Third Proportional to 750,775.50 and 1,619,658

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Solution

The third proportional to 750,775.50 and 1,619,658 is: 3,494,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,775.50 : 1,619,658 = 1,619,658 : x
  2. Step 2: Convert to fraction form
    750,775.50/1,619,658 = 1,619,658/x
  3. Step 3: Cross multiply
    750,775.50x = 1,619,658 × 1,619,658
  4. Step 4: Simplify right side
    750,775.50x = 2,623,292,036,964
  5. Step 5: Solve for x
    x = 2,623,292,036,964/750,775.50
  6. Step 6: Final answer
    x = 3,494,109.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.