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Finding the Third Proportional to 2,225,218.50 and 4,765,365

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Solution

The third proportional to 2,225,218.50 and 4,765,365 is: 10,205,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225,218.50 : 4,765,365 = 4,765,365 : x
  2. Step 2: Convert to fraction form
    2,225,218.50/4,765,365 = 4,765,365/x
  3. Step 3: Cross multiply
    2,225,218.50x = 4,765,365 × 4,765,365
  4. Step 4: Simplify right side
    2,225,218.50x = 22,708,703,583,225
  5. Step 5: Solve for x
    x = 22,708,703,583,225/2,225,218.50
  6. Step 6: Final answer
    x = 10,205,156.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.