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Finding the Third Proportional to 803,153 and 1,177,918

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Solution

The third proportional to 803,153 and 1,177,918 is: 1,727,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,153 : 1,177,918 = 1,177,918 : x
  2. Step 2: Convert to fraction form
    803,153/1,177,918 = 1,177,918/x
  3. Step 3: Cross multiply
    803,153x = 1,177,918 × 1,177,918
  4. Step 4: Simplify right side
    803,153x = 1,387,490,814,724
  5. Step 5: Solve for x
    x = 1,387,490,814,724/803,153
  6. Step 6: Final answer
    x = 1,727,554.79

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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.