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Finding the Third Proportional to 423,321.19 and 904,051.13

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Solution

The third proportional to 423,321.19 and 904,051.13 is: 1,930,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,321.19 : 904,051.13 = 904,051.13 : x
  2. Step 2: Convert to fraction form
    423,321.19/904,051.13 = 904,051.13/x
  3. Step 3: Cross multiply
    423,321.19x = 904,051.13 × 904,051.13
  4. Step 4: Simplify right side
    423,321.19x = 817,308,436,613.77
  5. Step 5: Solve for x
    x = 817,308,436,613.77/423,321.19
  6. Step 6: Final answer
    x = 1,930,705.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.