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Finding the Third Proportional to 700,882 and 1,072,347

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Solution

The third proportional to 700,882 and 1,072,347 is: 1,640,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,882 : 1,072,347 = 1,072,347 : x
  2. Step 2: Convert to fraction form
    700,882/1,072,347 = 1,072,347/x
  3. Step 3: Cross multiply
    700,882x = 1,072,347 × 1,072,347
  4. Step 4: Simplify right side
    700,882x = 1,149,928,088,409
  5. Step 5: Solve for x
    x = 1,149,928,088,409/700,882
  6. Step 6: Final answer
    x = 1,640,687.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.