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Finding the Third Proportional to 1,021,284 and 1,616,406

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Solution

The third proportional to 1,021,284 and 1,616,406 is: 2,558,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,284 : 1,616,406 = 1,616,406 : x
  2. Step 2: Convert to fraction form
    1,021,284/1,616,406 = 1,616,406/x
  3. Step 3: Cross multiply
    1,021,284x = 1,616,406 × 1,616,406
  4. Step 4: Simplify right side
    1,021,284x = 2,612,768,356,836
  5. Step 5: Solve for x
    x = 2,612,768,356,836/1,021,284
  6. Step 6: Final answer
    x = 2,558,317.13

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.