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Finding the Third Proportional to 832,726 and 1,791,752

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Solution

The third proportional to 832,726 and 1,791,752 is: 3,855,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,726 : 1,791,752 = 1,791,752 : x
  2. Step 2: Convert to fraction form
    832,726/1,791,752 = 1,791,752/x
  3. Step 3: Cross multiply
    832,726x = 1,791,752 × 1,791,752
  4. Step 4: Simplify right side
    832,726x = 3,210,375,229,504
  5. Step 5: Solve for x
    x = 3,210,375,229,504/832,726
  6. Step 6: Final answer
    x = 3,855,259.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.