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Finding the Third Proportional to 485,429 and 1,064,170

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Solution

The third proportional to 485,429 and 1,064,170 is: 2,332,900.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,429 : 1,064,170 = 1,064,170 : x
  2. Step 2: Convert to fraction form
    485,429/1,064,170 = 1,064,170/x
  3. Step 3: Cross multiply
    485,429x = 1,064,170 × 1,064,170
  4. Step 4: Simplify right side
    485,429x = 1,132,457,788,900
  5. Step 5: Solve for x
    x = 1,132,457,788,900/485,429
  6. Step 6: Final answer
    x = 2,332,900.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.