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Finding the Third Proportional to 773,460 and 1,665,402

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Solution

The third proportional to 773,460 and 1,665,402 is: 3,585,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,460 : 1,665,402 = 1,665,402 : x
  2. Step 2: Convert to fraction form
    773,460/1,665,402 = 1,665,402/x
  3. Step 3: Cross multiply
    773,460x = 1,665,402 × 1,665,402
  4. Step 4: Simplify right side
    773,460x = 2,773,563,821,604
  5. Step 5: Solve for x
    x = 2,773,563,821,604/773,460
  6. Step 6: Final answer
    x = 3,585,917.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.