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Finding the Third Proportional to 876,312 and 1,410,852

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Solution

The third proportional to 876,312 and 1,410,852 is: 2,271,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,312 : 1,410,852 = 1,410,852 : x
  2. Step 2: Convert to fraction form
    876,312/1,410,852 = 1,410,852/x
  3. Step 3: Cross multiply
    876,312x = 1,410,852 × 1,410,852
  4. Step 4: Simplify right side
    876,312x = 1,990,503,365,904
  5. Step 5: Solve for x
    x = 1,990,503,365,904/876,312
  6. Step 6: Final answer
    x = 2,271,455.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.