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Finding the Third Proportional to 977,029.50 and 2,121,168

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Solution

The third proportional to 977,029.50 and 2,121,168 is: 4,605,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,029.50 : 2,121,168 = 2,121,168 : x
  2. Step 2: Convert to fraction form
    977,029.50/2,121,168 = 2,121,168/x
  3. Step 3: Cross multiply
    977,029.50x = 2,121,168 × 2,121,168
  4. Step 4: Simplify right side
    977,029.50x = 4,499,353,684,224
  5. Step 5: Solve for x
    x = 4,499,353,684,224/977,029.50
  6. Step 6: Final answer
    x = 4,605,135.96

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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.