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Finding the Third Proportional to 706,196 and 1,080,492

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Solution

The third proportional to 706,196 and 1,080,492 is: 1,653,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,196 : 1,080,492 = 1,080,492 : x
  2. Step 2: Convert to fraction form
    706,196/1,080,492 = 1,080,492/x
  3. Step 3: Cross multiply
    706,196x = 1,080,492 × 1,080,492
  4. Step 4: Simplify right side
    706,196x = 1,167,462,962,064
  5. Step 5: Solve for x
    x = 1,167,462,962,064/706,196
  6. Step 6: Final answer
    x = 1,653,171.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.