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Finding the Third Proportional to 706,176 and 1,080,459

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Solution

The third proportional to 706,176 and 1,080,459 is: 1,653,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,176 : 1,080,459 = 1,080,459 : x
  2. Step 2: Convert to fraction form
    706,176/1,080,459 = 1,080,459/x
  3. Step 3: Cross multiply
    706,176x = 1,080,459 × 1,080,459
  4. Step 4: Simplify right side
    706,176x = 1,167,391,650,681
  5. Step 5: Solve for x
    x = 1,167,391,650,681/706,176
  6. Step 6: Final answer
    x = 1,653,117.14

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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.