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Finding the Third Proportional to 746,037 and 1,596,780

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Solution

The third proportional to 746,037 and 1,596,780 is: 3,417,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,037 : 1,596,780 = 1,596,780 : x
  2. Step 2: Convert to fraction form
    746,037/1,596,780 = 1,596,780/x
  3. Step 3: Cross multiply
    746,037x = 1,596,780 × 1,596,780
  4. Step 4: Simplify right side
    746,037x = 2,549,706,368,400
  5. Step 5: Solve for x
    x = 2,549,706,368,400/746,037
  6. Step 6: Final answer
    x = 3,417,667.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.