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Finding the Third Proportional to 964,522.69 and 1,417,920.19

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Solution

The third proportional to 964,522.69 and 1,417,920.19 is: 2,084,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,522.69 : 1,417,920.19 = 1,417,920.19 : x
  2. Step 2: Convert to fraction form
    964,522.69/1,417,920.19 = 1,417,920.19/x
  3. Step 3: Cross multiply
    964,522.69x = 1,417,920.19 × 1,417,920.19
  4. Step 4: Simplify right side
    964,522.69x = 2,010,497,658,120.04
  5. Step 5: Solve for x
    x = 2,010,497,658,120.04/964,522.69
  6. Step 6: Final answer
    x = 2,084,448.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.