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Finding the Third Proportional to 403,798 and 874,465

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Solution

The third proportional to 403,798 and 874,465 is: 1,893,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,798 : 874,465 = 874,465 : x
  2. Step 2: Convert to fraction form
    403,798/874,465 = 874,465/x
  3. Step 3: Cross multiply
    403,798x = 874,465 × 874,465
  4. Step 4: Simplify right side
    403,798x = 764,689,036,225
  5. Step 5: Solve for x
    x = 764,689,036,225/403,798
  6. Step 6: Final answer
    x = 1,893,741.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.