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Finding the Third Proportional to 873,165 and 1,908,657

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Solution

The third proportional to 873,165 and 1,908,657 is: 4,172,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,165 : 1,908,657 = 1,908,657 : x
  2. Step 2: Convert to fraction form
    873,165/1,908,657 = 1,908,657/x
  3. Step 3: Cross multiply
    873,165x = 1,908,657 × 1,908,657
  4. Step 4: Simplify right side
    873,165x = 3,642,971,543,649
  5. Step 5: Solve for x
    x = 3,642,971,543,649/873,165
  6. Step 6: Final answer
    x = 4,172,145.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.