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Finding the Third Proportional to 502,872 and 1,099,056

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Solution

The third proportional to 502,872 and 1,099,056 is: 2,402,050.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,872 : 1,099,056 = 1,099,056 : x
  2. Step 2: Convert to fraction form
    502,872/1,099,056 = 1,099,056/x
  3. Step 3: Cross multiply
    502,872x = 1,099,056 × 1,099,056
  4. Step 4: Simplify right side
    502,872x = 1,207,924,091,136
  5. Step 5: Solve for x
    x = 1,207,924,091,136/502,872
  6. Step 6: Final answer
    x = 2,402,050.80

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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.