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Finding the Third Proportional to 497,089.13 and 1,090,953

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Solution

The third proportional to 497,089.13 and 1,090,953 is: 2,394,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,089.13 : 1,090,953 = 1,090,953 : x
  2. Step 2: Convert to fraction form
    497,089.13/1,090,953 = 1,090,953/x
  3. Step 3: Cross multiply
    497,089.13x = 1,090,953 × 1,090,953
  4. Step 4: Simplify right side
    497,089.13x = 1,190,178,448,209
  5. Step 5: Solve for x
    x = 1,190,178,448,209/497,089.13
  6. Step 6: Final answer
    x = 2,394,295.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.