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Finding the Third Proportional to 478,569 and 1,044,069

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Solution

The third proportional to 478,569 and 1,044,069 is: 2,277,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,569 : 1,044,069 = 1,044,069 : x
  2. Step 2: Convert to fraction form
    478,569/1,044,069 = 1,044,069/x
  3. Step 3: Cross multiply
    478,569x = 1,044,069 × 1,044,069
  4. Step 4: Simplify right side
    478,569x = 1,090,080,076,761
  5. Step 5: Solve for x
    x = 1,090,080,076,761/478,569
  6. Step 6: Final answer
    x = 2,277,790.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.