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Finding the Third Proportional to 1,693,362.38 and 2,413,913.06

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Solution

The third proportional to 1,693,362.38 and 2,413,913.06 is: 3,441,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,362.38 : 2,413,913.06 = 2,413,913.06 : x
  2. Step 2: Convert to fraction form
    1,693,362.38/2,413,913.06 = 2,413,913.06/x
  3. Step 3: Cross multiply
    1,693,362.38x = 2,413,913.06 × 2,413,913.06
  4. Step 4: Simplify right side
    1,693,362.38x = 5,826,976,273,308.13
  5. Step 5: Solve for x
    x = 5,826,976,273,308.13/1,693,362.38
  6. Step 6: Final answer
    x = 3,441,068.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.