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Finding the Third Proportional to 832,254 and 1,257,129

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Solution

The third proportional to 832,254 and 1,257,129 is: 1,898,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,254 : 1,257,129 = 1,257,129 : x
  2. Step 2: Convert to fraction form
    832,254/1,257,129 = 1,257,129/x
  3. Step 3: Cross multiply
    832,254x = 1,257,129 × 1,257,129
  4. Step 4: Simplify right side
    832,254x = 1,580,373,322,641
  5. Step 5: Solve for x
    x = 1,580,373,322,641/832,254
  6. Step 6: Final answer
    x = 1,898,907.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.