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Finding the Third Proportional to 748,623 and 1,623,358.50

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Solution

The third proportional to 748,623 and 1,623,358.50 is: 3,520,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,623 : 1,623,358.50 = 1,623,358.50 : x
  2. Step 2: Convert to fraction form
    748,623/1,623,358.50 = 1,623,358.50/x
  3. Step 3: Cross multiply
    748,623x = 1,623,358.50 × 1,623,358.50
  4. Step 4: Simplify right side
    748,623x = 2,635,292,819,522.25
  5. Step 5: Solve for x
    x = 2,635,292,819,522.25/748,623
  6. Step 6: Final answer
    x = 3,520,186.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.