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Finding the Third Proportional to 712,037 and 1,068,197

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Solution

The third proportional to 712,037 and 1,068,197 is: 1,602,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,037 : 1,068,197 = 1,068,197 : x
  2. Step 2: Convert to fraction form
    712,037/1,068,197 = 1,068,197/x
  3. Step 3: Cross multiply
    712,037x = 1,068,197 × 1,068,197
  4. Step 4: Simplify right side
    712,037x = 1,141,044,830,809
  5. Step 5: Solve for x
    x = 1,141,044,830,809/712,037
  6. Step 6: Final answer
    x = 1,602,507.78

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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.