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Finding the Third Proportional to 778,575 and 1,689,342

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Solution

The third proportional to 778,575 and 1,689,342 is: 3,665,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,575 : 1,689,342 = 1,689,342 : x
  2. Step 2: Convert to fraction form
    778,575/1,689,342 = 1,689,342/x
  3. Step 3: Cross multiply
    778,575x = 1,689,342 × 1,689,342
  4. Step 4: Simplify right side
    778,575x = 2,853,876,392,964
  5. Step 5: Solve for x
    x = 2,853,876,392,964/778,575
  6. Step 6: Final answer
    x = 3,665,512.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.