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Finding the Third Proportional to 784,284 and 1,173,303

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Solution

The third proportional to 784,284 and 1,173,303 is: 1,755,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,284 : 1,173,303 = 1,173,303 : x
  2. Step 2: Convert to fraction form
    784,284/1,173,303 = 1,173,303/x
  3. Step 3: Cross multiply
    784,284x = 1,173,303 × 1,173,303
  4. Step 4: Simplify right side
    784,284x = 1,376,639,929,809
  5. Step 5: Solve for x
    x = 1,376,639,929,809/784,284
  6. Step 6: Final answer
    x = 1,755,282.44

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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.