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Finding the Third Proportional to 916,836 and 1,416,726

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Solution

The third proportional to 916,836 and 1,416,726 is: 2,189,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,836 : 1,416,726 = 1,416,726 : x
  2. Step 2: Convert to fraction form
    916,836/1,416,726 = 1,416,726/x
  3. Step 3: Cross multiply
    916,836x = 1,416,726 × 1,416,726
  4. Step 4: Simplify right side
    916,836x = 2,007,112,559,076
  5. Step 5: Solve for x
    x = 2,007,112,559,076/916,836
  6. Step 6: Final answer
    x = 2,189,172.94

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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.