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Finding the Third Proportional to 785,831.63 and 1,627,948.13

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Solution

The third proportional to 785,831.63 and 1,627,948.13 is: 3,372,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,831.63 : 1,627,948.13 = 1,627,948.13 : x
  2. Step 2: Convert to fraction form
    785,831.63/1,627,948.13 = 1,627,948.13/x
  3. Step 3: Cross multiply
    785,831.63x = 1,627,948.13 × 1,627,948.13
  4. Step 4: Simplify right side
    785,831.63x = 2,650,215,097,691.02
  5. Step 5: Solve for x
    x = 2,650,215,097,691.02/785,831.63
  6. Step 6: Final answer
    x = 3,372,497.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.