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Finding the Third Proportional to 724,730 and 1,537,156

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Solution

The third proportional to 724,730 and 1,537,156 is: 3,260,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,730 : 1,537,156 = 1,537,156 : x
  2. Step 2: Convert to fraction form
    724,730/1,537,156 = 1,537,156/x
  3. Step 3: Cross multiply
    724,730x = 1,537,156 × 1,537,156
  4. Step 4: Simplify right side
    724,730x = 2,362,848,568,336
  5. Step 5: Solve for x
    x = 2,362,848,568,336/724,730
  6. Step 6: Final answer
    x = 3,260,315.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.