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Finding the Third Proportional to 763,456 and 1,208,706

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Solution

The third proportional to 763,456 and 1,208,706 is: 1,913,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,456 : 1,208,706 = 1,208,706 : x
  2. Step 2: Convert to fraction form
    763,456/1,208,706 = 1,208,706/x
  3. Step 3: Cross multiply
    763,456x = 1,208,706 × 1,208,706
  4. Step 4: Simplify right side
    763,456x = 1,460,970,194,436
  5. Step 5: Solve for x
    x = 1,460,970,194,436/763,456
  6. Step 6: Final answer
    x = 1,913,627.24

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.