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Finding the Third Proportional to 478,578 and 1,006,732

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Solution

The third proportional to 478,578 and 1,006,732 is: 2,117,751.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,578 : 1,006,732 = 1,006,732 : x
  2. Step 2: Convert to fraction form
    478,578/1,006,732 = 1,006,732/x
  3. Step 3: Cross multiply
    478,578x = 1,006,732 × 1,006,732
  4. Step 4: Simplify right side
    478,578x = 1,013,509,319,824
  5. Step 5: Solve for x
    x = 1,013,509,319,824/478,578
  6. Step 6: Final answer
    x = 2,117,751.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.