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Finding the Third Proportional to 470,776 and 1,029,576

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Solution

The third proportional to 470,776 and 1,029,576 is: 2,251,658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,776 : 1,029,576 = 1,029,576 : x
  2. Step 2: Convert to fraction form
    470,776/1,029,576 = 1,029,576/x
  3. Step 3: Cross multiply
    470,776x = 1,029,576 × 1,029,576
  4. Step 4: Simplify right side
    470,776x = 1,060,026,739,776
  5. Step 5: Solve for x
    x = 1,060,026,739,776/470,776
  6. Step 6: Final answer
    x = 2,251,658.41

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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.