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Finding the Third Proportional to 939,784 and 1,513,196

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Solution

The third proportional to 939,784 and 1,513,196 is: 2,436,477.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    939,784 : 1,513,196 = 1,513,196 : x
  2. Step 2: Convert to fraction form
    939,784/1,513,196 = 1,513,196/x
  3. Step 3: Cross multiply
    939,784x = 1,513,196 × 1,513,196
  4. Step 4: Simplify right side
    939,784x = 2,289,762,134,416
  5. Step 5: Solve for x
    x = 2,289,762,134,416/939,784
  6. Step 6: Final answer
    x = 2,436,477.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.