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Finding the Third Proportional to 781,914.66 and 1,698,317.53

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Solution

The third proportional to 781,914.66 and 1,698,317.53 is: 3,688,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,914.66 : 1,698,317.53 = 1,698,317.53 : x
  2. Step 2: Convert to fraction form
    781,914.66/1,698,317.53 = 1,698,317.53/x
  3. Step 3: Cross multiply
    781,914.66x = 1,698,317.53 × 1,698,317.53
  4. Step 4: Simplify right side
    781,914.66x = 2,884,282,436,951.10
  5. Step 5: Solve for x
    x = 2,884,282,436,951.10/781,914.66
  6. Step 6: Final answer
    x = 3,688,743.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.