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Finding the Third Proportional to 947,489 and 1,457,829

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Solution

The third proportional to 947,489 and 1,457,829 is: 2,243,050.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,489 : 1,457,829 = 1,457,829 : x
  2. Step 2: Convert to fraction form
    947,489/1,457,829 = 1,457,829/x
  3. Step 3: Cross multiply
    947,489x = 1,457,829 × 1,457,829
  4. Step 4: Simplify right side
    947,489x = 2,125,265,393,241
  5. Step 5: Solve for x
    x = 2,125,265,393,241/947,489
  6. Step 6: Final answer
    x = 2,243,050.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.