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Finding the Third Proportional to 660,705 and 1,442,757

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Solution

The third proportional to 660,705 and 1,442,757 is: 3,150,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,705 : 1,442,757 = 1,442,757 : x
  2. Step 2: Convert to fraction form
    660,705/1,442,757 = 1,442,757/x
  3. Step 3: Cross multiply
    660,705x = 1,442,757 × 1,442,757
  4. Step 4: Simplify right side
    660,705x = 2,081,547,761,049
  5. Step 5: Solve for x
    x = 2,081,547,761,049/660,705
  6. Step 6: Final answer
    x = 3,150,494.94

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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.