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Finding the Third Proportional to 700,134 and 1,049,985

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Solution

The third proportional to 700,134 and 1,049,985 is: 1,574,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,134 : 1,049,985 = 1,049,985 : x
  2. Step 2: Convert to fraction form
    700,134/1,049,985 = 1,049,985/x
  3. Step 3: Cross multiply
    700,134x = 1,049,985 × 1,049,985
  4. Step 4: Simplify right side
    700,134x = 1,102,468,500,225
  5. Step 5: Solve for x
    x = 1,102,468,500,225/700,134
  6. Step 6: Final answer
    x = 1,574,653.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.