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Finding the Third Proportional to 478,377 and 1,006,326

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Solution

The third proportional to 478,377 and 1,006,326 is: 2,116,932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,377 : 1,006,326 = 1,006,326 : x
  2. Step 2: Convert to fraction form
    478,377/1,006,326 = 1,006,326/x
  3. Step 3: Cross multiply
    478,377x = 1,006,326 × 1,006,326
  4. Step 4: Simplify right side
    478,377x = 1,012,692,018,276
  5. Step 5: Solve for x
    x = 1,012,692,018,276/478,377
  6. Step 6: Final answer
    x = 2,116,932.92

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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.