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Finding the Third Proportional to 756,784 and 1,138,354

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Solution

The third proportional to 756,784 and 1,138,354 is: 1,712,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,784 : 1,138,354 = 1,138,354 : x
  2. Step 2: Convert to fraction form
    756,784/1,138,354 = 1,138,354/x
  3. Step 3: Cross multiply
    756,784x = 1,138,354 × 1,138,354
  4. Step 4: Simplify right side
    756,784x = 1,295,849,829,316
  5. Step 5: Solve for x
    x = 1,295,849,829,316/756,784
  6. Step 6: Final answer
    x = 1,712,311.35

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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.