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Finding the Third Proportional to 957,944 and 1,596,507

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Solution

The third proportional to 957,944 and 1,596,507 is: 2,660,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,944 : 1,596,507 = 1,596,507 : x
  2. Step 2: Convert to fraction form
    957,944/1,596,507 = 1,596,507/x
  3. Step 3: Cross multiply
    957,944x = 1,596,507 × 1,596,507
  4. Step 4: Simplify right side
    957,944x = 2,548,834,601,049
  5. Step 5: Solve for x
    x = 2,548,834,601,049/957,944
  6. Step 6: Final answer
    x = 2,660,734.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.