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Finding the Third Proportional to 916,959 and 1,991,459

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Solution

The third proportional to 916,959 and 1,991,459 is: 4,325,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,959 : 1,991,459 = 1,991,459 : x
  2. Step 2: Convert to fraction form
    916,959/1,991,459 = 1,991,459/x
  3. Step 3: Cross multiply
    916,959x = 1,991,459 × 1,991,459
  4. Step 4: Simplify right side
    916,959x = 3,965,908,948,681
  5. Step 5: Solve for x
    x = 3,965,908,948,681/916,959
  6. Step 6: Final answer
    x = 4,325,066.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.