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Finding the Third Proportional to 437,871 and 947,710

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Solution

The third proportional to 437,871 and 947,710 is: 2,051,184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,871 : 947,710 = 947,710 : x
  2. Step 2: Convert to fraction form
    437,871/947,710 = 947,710/x
  3. Step 3: Cross multiply
    437,871x = 947,710 × 947,710
  4. Step 4: Simplify right side
    437,871x = 898,154,244,100
  5. Step 5: Solve for x
    x = 898,154,244,100/437,871
  6. Step 6: Final answer
    x = 2,051,184.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.