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Finding the Third Proportional to 832,584 and 1,791,465

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Solution

The third proportional to 832,584 and 1,791,465 is: 3,854,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,584 : 1,791,465 = 1,791,465 : x
  2. Step 2: Convert to fraction form
    832,584/1,791,465 = 1,791,465/x
  3. Step 3: Cross multiply
    832,584x = 1,791,465 × 1,791,465
  4. Step 4: Simplify right side
    832,584x = 3,209,346,846,225
  5. Step 5: Solve for x
    x = 3,209,346,846,225/832,584
  6. Step 6: Final answer
    x = 3,854,682.35

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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.