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Finding the Third Proportional to 763,714 and 1,653,284

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Solution

The third proportional to 763,714 and 1,653,284 is: 3,579,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,714 : 1,653,284 = 1,653,284 : x
  2. Step 2: Convert to fraction form
    763,714/1,653,284 = 1,653,284/x
  3. Step 3: Cross multiply
    763,714x = 1,653,284 × 1,653,284
  4. Step 4: Simplify right side
    763,714x = 2,733,347,984,656
  5. Step 5: Solve for x
    x = 2,733,347,984,656/763,714
  6. Step 6: Final answer
    x = 3,579,020.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.