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Finding the Third Proportional to 1,902,535.50 and 2,785,547.25

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Solution

The third proportional to 1,902,535.50 and 2,785,547.25 is: 4,078,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902,535.50 : 2,785,547.25 = 2,785,547.25 : x
  2. Step 2: Convert to fraction form
    1,902,535.50/2,785,547.25 = 2,785,547.25/x
  3. Step 3: Cross multiply
    1,902,535.50x = 2,785,547.25 × 2,785,547.25
  4. Step 4: Simplify right side
    1,902,535.50x = 7,759,273,481,982.56
  5. Step 5: Solve for x
    x = 7,759,273,481,982.56/1,902,535.50
  6. Step 6: Final answer
    x = 4,078,385.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.