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Finding the Third Proportional to 816,592 and 1,201,560

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Solution

The third proportional to 816,592 and 1,201,560 is: 1,768,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,592 : 1,201,560 = 1,201,560 : x
  2. Step 2: Convert to fraction form
    816,592/1,201,560 = 1,201,560/x
  3. Step 3: Cross multiply
    816,592x = 1,201,560 × 1,201,560
  4. Step 4: Simplify right side
    816,592x = 1,443,746,433,600
  5. Step 5: Solve for x
    x = 1,443,746,433,600/816,592
  6. Step 6: Final answer
    x = 1,768,014.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.