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Finding the Third Proportional to 612,735 and 1,346,417

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Solution

The third proportional to 612,735 and 1,346,417 is: 2,958,601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,735 : 1,346,417 = 1,346,417 : x
  2. Step 2: Convert to fraction form
    612,735/1,346,417 = 1,346,417/x
  3. Step 3: Cross multiply
    612,735x = 1,346,417 × 1,346,417
  4. Step 4: Simplify right side
    612,735x = 1,812,838,737,889
  5. Step 5: Solve for x
    x = 1,812,838,737,889/612,735
  6. Step 6: Final answer
    x = 2,958,601.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.