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Finding the Third Proportional to 977,224 and 1,494,900

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Solution

The third proportional to 977,224 and 1,494,900 is: 2,286,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,224 : 1,494,900 = 1,494,900 : x
  2. Step 2: Convert to fraction form
    977,224/1,494,900 = 1,494,900/x
  3. Step 3: Cross multiply
    977,224x = 1,494,900 × 1,494,900
  4. Step 4: Simplify right side
    977,224x = 2,234,726,010,000
  5. Step 5: Solve for x
    x = 2,234,726,010,000/977,224
  6. Step 6: Final answer
    x = 2,286,810.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.