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Finding the Third Proportional to 478,582 and 1,044,099

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Solution

The third proportional to 478,582 and 1,044,099 is: 2,277,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,582 : 1,044,099 = 1,044,099 : x
  2. Step 2: Convert to fraction form
    478,582/1,044,099 = 1,044,099/x
  3. Step 3: Cross multiply
    478,582x = 1,044,099 × 1,044,099
  4. Step 4: Simplify right side
    478,582x = 1,090,142,721,801
  5. Step 5: Solve for x
    x = 1,090,142,721,801/478,582
  6. Step 6: Final answer
    x = 2,277,859.85

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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.