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Finding the Third Proportional to 768,714 and 1,194,352

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Solution

The third proportional to 768,714 and 1,194,352 is: 1,855,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,714 : 1,194,352 = 1,194,352 : x
  2. Step 2: Convert to fraction form
    768,714/1,194,352 = 1,194,352/x
  3. Step 3: Cross multiply
    768,714x = 1,194,352 × 1,194,352
  4. Step 4: Simplify right side
    768,714x = 1,426,476,699,904
  5. Step 5: Solve for x
    x = 1,426,476,699,904/768,714
  6. Step 6: Final answer
    x = 1,855,666.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.