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Finding the Third Proportional to 749,783 and 1,161,307

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Solution

The third proportional to 749,783 and 1,161,307 is: 1,798,699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,783 : 1,161,307 = 1,161,307 : x
  2. Step 2: Convert to fraction form
    749,783/1,161,307 = 1,161,307/x
  3. Step 3: Cross multiply
    749,783x = 1,161,307 × 1,161,307
  4. Step 4: Simplify right side
    749,783x = 1,348,633,948,249
  5. Step 5: Solve for x
    x = 1,348,633,948,249/749,783
  6. Step 6: Final answer
    x = 1,798,699.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.