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Finding the Third Proportional to 841,314.75 and 1,180,506

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Solution

The third proportional to 841,314.75 and 1,180,506 is: 1,656,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,314.75 : 1,180,506 = 1,180,506 : x
  2. Step 2: Convert to fraction form
    841,314.75/1,180,506 = 1,180,506/x
  3. Step 3: Cross multiply
    841,314.75x = 1,180,506 × 1,180,506
  4. Step 4: Simplify right side
    841,314.75x = 1,393,594,416,036
  5. Step 5: Solve for x
    x = 1,393,594,416,036/841,314.75
  6. Step 6: Final answer
    x = 1,656,448.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.