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Finding the Third Proportional to 1,585,950 and 2,371,996.50

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Solution

The third proportional to 1,585,950 and 2,371,996.50 is: 3,547,632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,950 : 2,371,996.50 = 2,371,996.50 : x
  2. Step 2: Convert to fraction form
    1,585,950/2,371,996.50 = 2,371,996.50/x
  3. Step 3: Cross multiply
    1,585,950x = 2,371,996.50 × 2,371,996.50
  4. Step 4: Simplify right side
    1,585,950x = 5,626,367,396,012.25
  5. Step 5: Solve for x
    x = 5,626,367,396,012.25/1,585,950
  6. Step 6: Final answer
    x = 3,547,632.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.