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Finding the Third Proportional to 961,907.06 and 1,352,904.19

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Solution

The third proportional to 961,907.06 and 1,352,904.19 is: 1,902,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,907.06 : 1,352,904.19 = 1,352,904.19 : x
  2. Step 2: Convert to fraction form
    961,907.06/1,352,904.19 = 1,352,904.19/x
  3. Step 3: Cross multiply
    961,907.06x = 1,352,904.19 × 1,352,904.19
  4. Step 4: Simplify right side
    961,907.06x = 1,830,349,740,555.04
  5. Step 5: Solve for x
    x = 1,830,349,740,555.04/961,907.06
  6. Step 6: Final answer
    x = 1,902,834.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.