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Finding the Third Proportional to 960,278 and 2,097,730

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Solution

The third proportional to 960,278 and 2,097,730 is: 4,582,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,278 : 2,097,730 = 2,097,730 : x
  2. Step 2: Convert to fraction form
    960,278/2,097,730 = 2,097,730/x
  3. Step 3: Cross multiply
    960,278x = 2,097,730 × 2,097,730
  4. Step 4: Simplify right side
    960,278x = 4,400,471,152,900
  5. Step 5: Solve for x
    x = 4,400,471,152,900/960,278
  6. Step 6: Final answer
    x = 4,582,497.10

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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.