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Finding the Third Proportional to 791,172 and 1,225,851

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Solution

The third proportional to 791,172 and 1,225,851 is: 1,899,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,172 : 1,225,851 = 1,225,851 : x
  2. Step 2: Convert to fraction form
    791,172/1,225,851 = 1,225,851/x
  3. Step 3: Cross multiply
    791,172x = 1,225,851 × 1,225,851
  4. Step 4: Simplify right side
    791,172x = 1,502,710,674,201
  5. Step 5: Solve for x
    x = 1,502,710,674,201/791,172
  6. Step 6: Final answer
    x = 1,899,347.64

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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.