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Finding the Third Proportional to 960,276 and 2,097,726

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Solution

The third proportional to 960,276 and 2,097,726 is: 4,582,489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,276 : 2,097,726 = 2,097,726 : x
  2. Step 2: Convert to fraction form
    960,276/2,097,726 = 2,097,726/x
  3. Step 3: Cross multiply
    960,276x = 2,097,726 × 2,097,726
  4. Step 4: Simplify right side
    960,276x = 4,400,454,371,076
  5. Step 5: Solve for x
    x = 4,400,454,371,076/960,276
  6. Step 6: Final answer
    x = 4,582,489.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.