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Finding the Third Proportional to 710,735 and 1,677,806

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Solution

The third proportional to 710,735 and 1,677,806 is: 3,960,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,735 : 1,677,806 = 1,677,806 : x
  2. Step 2: Convert to fraction form
    710,735/1,677,806 = 1,677,806/x
  3. Step 3: Cross multiply
    710,735x = 1,677,806 × 1,677,806
  4. Step 4: Simplify right side
    710,735x = 2,815,032,973,636
  5. Step 5: Solve for x
    x = 2,815,032,973,636/710,735
  6. Step 6: Final answer
    x = 3,960,734.98

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.